This is a non-issue.
Trekners wanted the shuttle to be named Enterprise. As I remember it, the noise was loud enough that "the powers that be" decided to go ahead and do it.
Whether or not that's in the recorded history ... ? But that's what I remember.
Yeah, uh, you know the question isn't ``was the first space shuttle named Enterprise after Trek fans organized a letter-writing campaign?''. There's no room for realistic doubt about the answer to that being yes.
The interesting question is, ``was there actually another name planned for that orbiter before the Trek letter-writing campaign, and if so, was it Constitution?'' And there is quite some room for doubt about its answer, for reasons outlined above.