AI is pretty much the culmination of technocapital, so frankly the idea that a nonprofit without deep government support would be the leading AI company is a little unrealistic in the first place. Especially considering the heavy capital requirements to even make this stuff functional in the first place.
I think you’d need a government organization on the level of Manhattan Project to really compete, but unfortunately there don’t seem to be many Robert Oppenheimers and Vannevar Bushes working in the public sector anymore.