Definitely stupid about as stupid as your understanding of my views.
One more time NASA hires private contractors and oversees the Infrastructure build. Oversees the space ports here on Earth the space stations and the one the Moon (Just like you said should be) And then private industry uses this infrastructure by building their own ships to make the Moon a destination and a place to expand. H3 is a promising source of energy a great place to try it out is supplying power to the Moon base.
NASA paying Contractors to build the Spaceway and infrastructure to the moon is no different than England and Spain financing the first Colonies in the New Land. Hell if they had followed your plan there wouldn't even be a United States Of America that went to the Moon the first time!
Further, if you have one entity design the infrastructure then you have a standard to work towards. For instance airlocks on ships. They will need to be standardized so ships can dock at the various space stations and with other ships. No standard would mean lots of problems.
Based upon your post, you agree with the President’s current plan, as I do.