Okay, so let me do an apologists' breakdown of Grin's video:
* 0:07 - Harry Kim (in Flashback) says that the era of Captain Sulu, Captain Kirk, and Dr. McCoy didn't have replicators (he also says holodecks in the full clip). Kim *could* be wrong here, and the replicators and holodeck on the Discovery might be experimental technology not brought out to the fleet or society at large for decades (to accommodate Flashback's locale in the 2290s). I think it's easiest to assume that "replicator" and maybe even "holodeck" were terms in the 23rd century for technologies that were still very primitive compared to the their 24th century counterparts.
* 0:22 - BTS video of a producer describing Pike's Executive Replicator. Just because she calls his food slot a replicator, doesn't make it so. I mean, why would he have a completely stocked bar if there was a replicator right there?
* 0:41 - The Enterprise has enough food to feed a crew of 430 for five years. Good redundancy system if they do have some sort of replicator backup. Note: the Enterprise is older than the Discovery, and it's likely they don't utilize the experimental replicator technology, if there is such a thing.
* 0:48 - Charlie Evans was on an even older ship than the Enterprise (and old transport ship), which probably didn't have this high-falutin' technology.
* 1:07 - Janice is concerned that Charlie has access to a special green perfume outside of the ship stores. More likely that the replicators/fabricators were primitive enough that they couldn't created the special aromatic, chemical blend of her favorite perfume.
* 1:15 - I contend that the food stuff on the Enterprise isn't replicated (and probably on the Discovery as well), but synthesized from existing foodstuff. Kirk talking about "synthetic meatloaf" proves my contention. Yeah, and then Charlie creates real turkeys, which is magic and freaks everyone out, of course.
* 1:28 - I don't consider that Tribble Commercial part of Star Trek, so them using a replicator is no big deal. I mean, it replicates real life creatures (Tribbles), something not even TNG replicators did. If it is, somehow, some way, real canon, then it's clearly a commercial that might use special effects (i.e., what it really is doing).
* 1:47 - I don't think they can replicate food, but they might use food grain (and colonies do, as well).
* 1:56 - The Tribbles are hanging out in food slots (and all the other food processors too).
* 2:14 - "The food synthesizers cannot manufacture enough food for the entire journey." - Great line, proving that food is created (i.e. replicated or synthesized or whatever you want to call it) and not just stored outright on the Enterprise. That is has a finite shelf life before the synthesizers break down or they need to use prepared one-time material to synthesize the food is likely.
* 2:22 - The Enterprise-A has a fully-staffed Galley. They're a diplomatic ship at this time, not on a five-year mission, and likely synthetic food in this era (like replicated food in the next) is probably less palatable than real food.
* 2:52 - Kirk's Uncle's Cabin having an old style 20th century look makes sense for a rustic feel, especially since he's about to go horseback riding.
* 3:00 - Food Slot action. They use cards on the Enterprise, touch screen codes on the Cabot, and voice command on the Discovery, but this seems to be all doing the same thing, probably utilizing a preplanned (but perhaps extensive) menu of available food (that is likely synthesized on the spot based on available ingredients).
* 4:20 - Both Scotty (in TAS) and then Tilly (in Short Treks) have almost the exact same thing of the food slot spitting out food at an exponential rate. Scott even calls it a "food factory," showcasing that it probably is synthesizing the food at the moment of request.
* 4:40 - Multiple references (from Discovery Season 3, but referring to events from the 2250s) to synthehol, capped off with the scene from Relics where Data informs Scotty about what synthehol is. This is a notable continuity error, but it's possible that synthehol was an experimental technology (a synthetic alcohol without the inebriating effects) used heavily on the Discovery, but not on any of Scotty's ships at the time, and would be adopted by Starfleet at large only after 2294 sometime, thus Data could believe that Scotty might not be familiar with it (he may have just been surprised at its use in a fully stocked bar).
* 5:13 - Scotty complimenting the replicator. He also liked the warp engine, that doesn't mean he wasn't familiar with the technology.
* 5:52 - Some uniform fabricating from Discovery. I always assumed, years before Discovery, that similar fabricating occurred on the Enterprise. I mean, they didn't just have Nazi uniforms on hand. Probably 3D printed it, with fancy lasers, as Discovery did.
* 6:49 - Terok Nor/Deep Space 9 probably didn't have a uniform fabricator, and the officers were required to bring their proper change of clothing (which Bashir failed to do).
* 6:56 - There's alot of questionable stuff in Ephraim & Dot, but I don't think the laundry is one of them. It's likely that fabrication/synthesizing of clothing is a limited allowance, and uniforms are reused instead of discarded every night. Michael had to fabricate a uniform, but she may have kept it and cleaned it afterwards on a regular basis.
* 7:15 - They have a "garment reprocessor" on the Enterprise-D. That's 100 years later, with much more advanced technology.
* 8:12 - TOS uniforms are xenylon, but Discovery are not.
* 8:34 - This just tells me that the the replicators in the 24th century provide nutritious content, regardless of what you order, but in the 23rd century, the "replicator" didn't have the ability to hide the nutrition in fatty and sugar and over-caffeinated drinks.
* 8:50 - Goes onto some of the holodeck conundrums I mentioned earlier.