Or do you think that if I pay a plumber to install a toilet, I've now invested in his plumbing business?
It makes no sense that the government equivalent is NASA and each launch is expensive and slow. The US govt is seeking contracts with a private entity because NASA simply does not have the ability to go to space quick and cheaply.
Space Shuttle? United Space Alliance, Thiokol/Alliant Techsystems (for the SRBs), Lockheed Martin/Martin Marietta (for the external tank), Boeing/Rockwell (for the orbiter).
Apollo? Boeing (first stage), North American Aviation (second stage), Douglas (third stage), North American Rockwell (CSM), Grumman (LM).
IIRC, NASA have never made their own complete launch vehicle in-house.
If it's finally profitable to do space, it's up to a private company to do it. NASA's version is just more flag waving. The best it can hope for is to be a jobs program for technologists. Which is awesome and undoubtedly has benefits, but it's no surprise that it isn't profitable or gutsy.
China's got two rovers up there, returned 1.7kg of moon rocks in 2020, has another sample return scheduled this year, and another rover in 2026.
SpaceX was originally funded, and still is funded, by tens of billions of dollars worth of NASA contracts. It's not a billionaire dragging the country to space, it's the people of the country paying for a service.