Firstly Reliant wasn't impulse powered, she was warp powered.
Ah, I see where I mislabeled it. Corrected now.
And we still don't know if the phasers on Reliant were actually "low powered" so that's speculation.
And yet we still don't know if the the phasers on Reliant were actually "full powered" so that's speculation. But wait, we see that the Reliant isn't putting all or perhaps any of her warp power into the phaser attack... (Plus, now that we've got some visual comparisons, Reliant's initial attack and damage looks just like the later battle where everyone is damaged and firing at reduce power levels.)
I'll take these one at a time.
The inference here is general.
For instance in the first Pilot they channel as much as they can but they threaten to burn out the circuits. In the above statement and result doesn't show that the complete power of the ship is channeled through the phasers...the ship doesn't go dark, systems don't fail
There is no reason for the ship to go dark if the mains or even the mains AND auxiliary power goes out. The ship's reserve power system (aka batteries) *almost always* kick in to maintain life support, lights, gravity, systems, etc. Heck, in "Mudd's Women" they were on only batteries to hold orbit, operate sensors and transporters, etc.
No power reference here.
...
That's almost what I'm looking for but I don't know the conditions at the time. Was the ship at red alert, where other power hungry system in play? If so then the context is important between all the power of the ship is in the phasers and power levels won't be able all the ship's systems and firing the phasers at max at the same time continuously. As long as there is an option between these two it means nothing can be deduced from the statement.
I encourage you to watch the episode, "The Paradise Syndrome". And BTW, given your above questioning, why aren't you applying this to the Reliant's initial attack on the Enterprise and her firing "full phasers"?
The Enterprise strains her warp engines to get to intercept an asteroid the size of Earth's moon. Arriving at the intercept point, the ship channels all main power aka "full power" into a deflector push but it wasn't enough. They then proceed to get in front of the asteroid in an attempt to split in half. Once again, they put all power into the phaser attack and end up burning out the warp engines.
From "The Paradise Syndrome":
SPOCK: Correct, Mister Chekov. I intend to retreat in front of that asteroid until
we can employ all power on phaser beams.
MCCOY: What for?
SPOCK: To destroy it. A narrow beam concentrated on a single spot will split that mass.
MCCOY: It might also cripple the ship, and we would be crushed by the asteroid.
SPOCK: Incorrect. We'll still be able to get out of its path by use of impulse power.
MCCOY: Jim won't be able to get out of its path.
SPOCK: That, Doctor, is another calculated risk we must take.
and from TMP the warp power to phaser relationship is clearly pointed out. Without main engines, phaser power is reduced.
DECKER: Sir, the Enterprise redesign increases phaser power by channeling it through the main engines.
I've said before. This is inconclusive: Phaser power could mean more power to fire and thus no recharge time or it could mean more powerful phaser blast. As long as there is an option it's not a direction inference.
Your argument would be valid if Decker said, "the Enterprise redesign increases phaser
firing rates by channeling it through the main engines". However, Decker says specifically
phaser power. Now, you can pretend that he said something different, as YMMV.
Or on the other hand - not only does the engineering section rock a couple of more times *After* we see Khan's initial phaser strike, so does the bridge and we also see 5-8 spots of damage on the damage control monitors which are pointed out to us by Kirk and Spock. That counts as multiple strikes, even though it happened off screen. And this is before we Khan's final torpedo strike.
We still need inference.
Speculation either way isn't really leading to anything conclusive but rather just speculation on both sides. Remember other factors could be involved with causing that other damage or the rocking.
So then we shouldn't be speculating that Reliant has more powerful phasers, eh?
