Folks, you're both correct!
GP is referring to in-universe canon, where the NCC-1701 was conceived and constructed by Starfleet, long after the Space Shuttle program was obsolete.
Wikipedia articles are largely discouraged from using in-universe perspectives or content, as opposed to Fandom/Wikia/Memory Alpha.
Right. Although in-universe, it was the NX-01 that was the genesis of the name for starships. NCC-1701 was a century later.