Ok, let's take this seriously.* Suppose that AIs are created, and transcend or sublime or whatever, next Tuesday. Are we going to go to work on Wednesday? The world is still here, people are still here, you still need to eat, even if I don't want to eat my cats would still need food, so my guess is, yes, we would. (This assumes that this transcendence would not be like ACC's "Childhood's End.") Unless the transcendees left behind a version of something like "The Galaxy for Untranscended Dummies," I would still be working on asteroids and how to extract material from them.

Fast forward 1 million years. The untranscended could have expanded over a good chunk of the galaxy, forming maybe a Kardashev 2.3, 2.4 or even 2.5 civilization. The transcendees would be... where? Somewhere else. Doing what? Who knows.

From the million year (much less billion year) perspective, it sure does look history will be written by the untranscended, in which case I suspect the transcendees will not play a large role in it.

*The general relativistic in me thinks that the bit about “extreme gravitationally induced time-dilation” is silly, as you can't have enough information density in ordinary matter to do that. Ian Banks talked about civilizations "subliming" into another existence in an internal Kaluza Klein type dimension, which sounds more plausible and will do for now.