Here's what meta...What would Galaxy Quest even be based on there? Unless you're saying Trek exists in its own fictional universe for GQ to be based upon. That would be really freaking meta.
The first Space Shuttle (not space worthy, but used for testing within our atmosphere) was named Enterprise, and was named that specifically in honor of the TV show's hero ship.
Then in various Star Treks (TMP, TNG, ENT) there were models or artwork of all ships to carry the name Enterprise, and one of those ship models/artwork was of the Space Shuttle.
So in-universe, the history of ships named Enterprise includes one named after the fictional TV show ship.
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