Facts are a funny thing, and no, I don't think you'd have Pfizer. You're splitting hairs. Sure, Pfizer made a point to not accept government funding, but they did benefit significantly from a preorder from the US gov't for $2B worth of vaccines. That sure helps when a company reflects on development risk. Also, they along with the others, benefited from their deep working relationships with regulators and the general freeing of political interference. Remember, Warp Speed wasn't just about money. And although Pfizer may not have taken funding, BioNtech had no problems taking $500M from the German government, arguably programs inspired by Warp Speed. The US generally leads, emboldens the rest of the world, who then follows.You may want to check your facts on the role Warp played with different manufacturers. You wouldn't have a Moderna, you would have a Pfizer.
The availability of vaccine in Canada, in the early day was 100% thanks to the European union who did not block exports to Canada as some other countries did. So I do thank the EU. They could have been pricks.
As for exports, you're talking about transport logistics, not the vaccine itself. I don't believe there was a chance in hell the vaccine could have hit the market so quickly without Warp Speed, inspired in part by Trumps obsession to solve for covid which was the only thing standing in the way of his re-election. I question if another President would have had the motivation to move so quickly, least of all the Dems currently running the White House.
Decades from now, history will not remember these obsessions, the drinking of bleach, wearing or not wearing a mask, or how many feet we stayed apart. I think it will remember Warp Speed, the vaccine and how quickly it saved the world.