This is incorrect. Inspiration4 sent astronauts they trained. This was largely true for the Axiom mission as well, and will be for the Polaris missions.
As far as I can tell NASA had no plans to return to the moon until spaceX came around with starship. Hard for me to say spaceX isn’t the direct reason for the planned mission
That's not correct. The Constellation program (which would eventually morph into the SLS via Ares) have been in development with the goal of returning to the moon since before the F9 launched even.
I think there is a misconception here, SpaceX does not send anyone to space, NASA, ESA etc .. does.
SpaceX builds rockets that's it, they don't train astronaut or have a program for space exploration or missions.