I'd like to understand in more detail how this analogy breaks down.
I think the important disanalogy is that once you've created a safe AGI of sufficient power, you win. (Because it's an AGI, so it can go around doing powerful AGI stuff – other projects could be controlled or purchased, etc.)
It's not for sure the case that first-past-the-post will be the end-of-the-day winner, but being first-past-the-post is probably a big advantage. Bostrom has some discussion of this in the multipolar / singleton section of Superintelligence, if I recall correctly.
Drexler's Comprehensive AI Services is an alternative framing for what we mean by AGI. Probably relevant here, though I haven't engaged closely with it yet.
Paul Christiano has a notion of competitiveness, which seems relevant. Directions and desiderata for AI control seems to be the the place it's stated most clearly.
The following quote (emphasis in the original) is one of the reasons he gives for desiring competitiveness, and seems to be in the same ballpark as the reason you gave:
Thanks for the link. So I guess I should amend what Paul and OpenAI's goal seems like to me, to "create AGI, make sure it's aligned, and make sure it's competitive enough to become widespread."
Seems right, though I don't know to what extent Paul's view is representative of OpenAI's overall view.