did you make ANY attempt to prove that Delta Vega is a Federation outpost? Because I really doubt that it is.
Hmm. It features hardware that is compatible with
Constitution class ships, is labeled in English, and uses the exact same type of push-button interface currently in fashion aboard the
Constitutions. The heroes know all about how the place operates. Its operations include amenities for humans, such as the human-sized brig labeled "restricted area" and the nearby "dispensary".
Moreover, Delta Vega is right next to the starship after her misadventure into the Galactic Barrier. An incredible coincidence - or a "base camp" (or, rather, the fourth in a series, as in Delta) in a carefully orchestrated push into unprecedented depths of space, far beyond the usual UFP borders? The so called Vega Project, perhaps (as the location cannot have anything to do with the star Vega)?
Incidentally, if the latter, then it also makes sense that the designation "Delta Vega" would be randomly applied to a different location in a different timeline... But I digress.
The Galactic Barrier is a rather well-defined quantity in TOS. We learn that it has (supposedly) not been penetrated by Earthlings before Kirk's mission. We learn that it has not been studied all that carefully by Earthlings, either, as many of its characteristics even before the penetration surprise our heroes. When revisited in "In Truth", the region is specifically considered a past
Enterprise adventure rather than a region more generally known to the Federation. It can hardly be argued to be UFP turf in "By Any Other Name", either.
All in all, there seems to be plenty of evidence that Delta Vega is of UFP origin, yet the sole UFP presence in the region, and even then a normally uncrewed installation without the means or will to explore the surroundings much. Since it
can be crewed, though, the UFP apparently has designs for the region...
All that said, learning everything there's to learn about Delta Vega still doesn't tell us anything at all about the spatial extent of the UFP. After all, it's impossible to tell where Delta Vega is located in galactic terms. Its position is dictated by a completely fictional phenomenon - and it is that fictional phenomenon that also sharply defines the edge, rim or border of the galaxy, independently of the "real" shape or size of said galaxy.
Timo Saloniemi