That's pretty cool with the history.
So was there ever a close up of the exploded wing graphic that we can actually see "Constitution class" on it? That would definitely tie "Constitution class" to the TOS Enterprise in "Space Seed". Too bad the phaser diagram was only shown in "Trouble with Tribbles" though as it isn't as direct a tie-in.
It would appear that the only direct linkage of the TOS Enterprise to "Constitution class" comes from TNG's "Relics" and the new-FX TNG "Naked Now".