First the writers get shit for making the tech on DIS too advanced in the first two seasons. Now they get shit for not making the tech advanced enough! Those poor people just can't win no matter what they do!
I never had an issue with DISCO's tech in the 23rd century.
It wasn't too advanced... it actually seemed consistent with having dozens of species in the Federation contributing to technical and scientific advancement (to that end, I was dissapointed that the Federation was not more technologically evolved than the Klingons by the 23rd century).
I always posited that based on what we saw in TOS, it was TNG/DS9/VOY that didn't seem 100 years ahead... but rather exactly several decades ahead (or more to the point, the exact passage of time that passed between TOS to TNG/onward).
Anyway, we know from VOY that faster-than-warp tech (let's just call it all "transwarp") exists, but that doesn't mean that even the 28th Century Federation had the resources to deploy them on a large scale -- or that if they did, that they wouldn't be vulnerable to the Burn as well. It's possible, for instance, that coaxial warp drive, spatial folding transporters, or Borg transwarp coils might still require matter/anti-matter reactions regulated by dilithium to power their components. And we know from "That Hope Is You, Part I" that quantum slipstreams are within the technical capacity of 32nd Century ships, but that the benamite required is extremely rare. So it's plausible that the loss of most dilithium would still have the effects described, even if Starfleet and the UFP had transwarp technologies by the 28th Century.
It seems incredulous to think than an interstellar organisation comprised of hundreds of alien species working together that spans thousands of Ly's didn't have the resources to deploy faster than Warp tech on a large scale.
For example, the Quantum Slipstream version 1 (300 Ly's per hour) didn't require use of benamite crystals (only minor modifications to the Warp core - and while Voyager was encountering Quantum stresses preventing it from using the tech for more than 1 hour, its still usable in emergencies for say 30 mins, and SF would have been able to develop deflector technology or structural integrity fields that would be able to cope with the quantum stresses.
Version 2 of QS required use of Benamite crystals (and this version was also much faster than V1 QS - about 10 000 Ly's per minute) and Harry Kim mentioned it would take years to synthesize more benamite crystals.
Keep in mind that Voyager was able to create V2 of QS technology (which was much faster than V1) only 4 months since encountering the V1 of QS... if a single ship and a crew was able to do that, imagine what Starfleet would have been able to do with just version 1 and no use of Benamite crystals. Sure, slower speeds, but still faster 122 times faster than Warp 9.9 (21 473 times Lightspeed which translates to 2.45 Ly's per hour).
Mind you yes, just because it would have been possible to implement it (I'm pretty sure that if Voyager was able to upgrade QS technology in 4 months since first encountering it, Starfleet would have been able to easily use Version 1 with improved structural integrity field technology, while simultaneously working on a way to synthesize Benamite crystals and work on recrystalizing them in a year or a decade at most to make V2 QS viable for the entire fleet on the go in a few months or years once the ship got back to the Alpha Quadrant), if ships were still using dilithium and M/AM, they'd be vulnerable to the Burn - which leads us to another inconsistency:
Starfleet developed dilithium recrystalization technology in late 23rd century.
So, Dilithium supplies running out 700 years post 23rd century never made much sense if you can just recrystalize those currently in use... and it also stands to reason that as you advance, you'd use technical efficiency (producing more with less).
We've seen that 32nd century ships can run on proverbial chips of dilithium (like Booker's ship) for long periods of time.. so that's fine, but apparently, they still ran out dilithium EVERYWHERE (which seems like a stretch).
And there are other ways of generating enough energy you need for powering ships systems (and FTL) that weren't reliant on dilithium for regulating those reactions.
Arturis ship (the fake Dauntless with QS drive v1) didn't use dilithium or antimatter (and Voyager crew got detailed scans of that ship and familiarized itself with it from stem to stern).
Thermionic generators are another option (which species 8472 used and there was exchange of technologies in that episode where the species recreated SF HQ on Earth).
Tetryon reactors (which Voyager had info of from initial scans of Caretaker array and second time from Tash's subspace catapult which used same technology and got detailed sensor readings of - tetryon reactors were quite powerful and can easily power an 'FTL jump' method to push a ship thousands of lightyears).
Omega molecule (which Voyager was able to stabilize using the harmonic resonance chamber... even without the molecules stabilizing on their own, the harmonic resonsance chamber was already stabilizing the Omega molecules pretty fast and didn't show signs of instability) - though Starfleet had severe reservations about this substance due to its subspace destroying properties (which actually seem to vanish when the molecule is stabilized)...and they also had similar prohibitions/treaties in place against using subspace based weapons (which can cause rifts in the fabric of space) - so even if they KNEW how to use Omega Molecule reliably (which they technically do since Voyager), they might not WANT to use it (but we also don't know if SF decided to change their approach on this in the proceeding 810 years and try again in a remote part of space using an approach Voyager developed).
Incidentally... species 8472 bioships also used antimatter... Chakotay noted heavy concentrations of antimatter particles when scanning the bioship innards with his tricorder... but no mention of whether they used dilithium for regulating the reactions.
And of course, Romulans use forced Quantum singularity for power generation... no dilithium usage... despite the fact they still mine it... which could be for trading or other applications (not necessarily for power generation).
There are a few examples of non dilithium/M/AM for power sources, but they are there.
I don't think it would kill the writers to quickly look up some transcripts of older TV shows where certain technologies were used repeatedly to make a good extrapolation.... takes mostly 5 minutes to do that and its only a few lines they need to read through to get a decent understanding.
Quantum Slipstream was featured in two episodes after all, and isn't it the writers job to do basic research?
Same with calculating warp speeds... not much of a problem with a calculator (you know, for consistency sake).
I just found it incredibly stupid that Earth's sensor capabilities were even less advanced than those on the NX-01.
I mean come on... you can build ships with highly advanced quantum torpedoes and floating nacelles (and even say that a viewscreen on Discovery is 'quaint' - can even ascertain WHEN the ship was built) but don't have access to sensor technology capable of scanning real time lightyears away (like it was already doable by late 24th century?).
You'd think Earth would want an early warning system for potential Dilithium raiders which might enter SOL - which would be very useful.
A CME hitting the Thikov and killing the family on board was equally incredible. Mainly because, for things like that, you'd think the ship's short range sensors would have detected a CME and raised shields and set a course away at maximum impulse or engaged Warp engines.
Even a late 24th century Federation ship had metaphasic shields which allowed them to survive in a star's corona for hours.
I would appreciate a little bit of consistency here... or at least a viable explanation as to why Starfleet (and non Federation worlds like Earth) seemingly lost basic (and well established) technologies which are actually required even for basic warp or day to day functioning.
I mean come on, you NEED subspace sensors capable of scanning far ahead of the ship in real time to avoid possible collisions when travelling at Warp, and having those sensors to warn you about dilithium raiders would be prudent to say the least.
To be fair, if something happened as a final act of the Temporal War which reversed Federation technical abilities, that would make sense (and nice to hear)... otherwise, the writers are just so incredibly lazy and technically speaking NOT doing their job.