Nitpicky Things that just get on your nerves

[Forbin]

Wikipedia tells me that there are currently about 35 known satellite galaxies to the Milky Way, the nearest being 25,000 light years away (much closer than Voyager's endpoint). The first episode of Star Trek ever told us about the "Vernal Galaxy", which included the Talos Star Group which we now know is also in the Alpha Quadrant of the Milky Way, so the Vernal must be an even closer satellite that has almost merged into the Milky Way. Novels even feature Federation exploration of the Magellanic Clouds.

So, contrary to popular belief, I think "intergalactic" is an appropriate label for Star Trek space travel. Barely.

Nope. From Memory Alpha:

The term "vernal" (a dated term meaning springlike or related to spring), is used in astronomical coordinate systems to refer to the point or region of sky defined by the vernal equinox. Its nature as a section of the galaxy rather then a different galaxy was made clear by a statement from Captain Christopher Pike in "The Cage", where while on Talos he claimed he was "from a stellar group at the other end of this galaxy."
Talos IV was said to lay in the Alpha Quadrant in "If Memory Serves", suggesting that so did at least part of Vernal Galaxy. Starbase 11, located just two light years from Talos IV, might also be in Vernal Galaxy.
The term "Vernal Galaxy" in the official Starfleet Command report was used in a sentence without a "the" preceding it, and was written completely in lowercase letters despite several important words being written in all caps.

https://memory-alpha.fandom.com/wiki/Vernal_Galaxy

It's either a name for a section of our galaxy, or some kind of affectionate nickname for the Milky Way. There's nothing to indicate it's another galaxy. The term was never used again after the pilot, so it can be chalked up to something tried out, and dropped.
In any case, for Tim's specific usage above, my little nitpicky thing stands.

 

[Orphalesion]

I mean it was the pilot episode, and also the episode were they causally go to the very rim of the galaxy, so it's fair to say that they hadn't figured out everything about their universe yet.