The Luddites asked a similar question. The ultimate answer is that it doesn't matter that much who controls the means of production, as long as we have access to its fruits.
As long as manual labor is in the loop, the limits to productivity are fixed. Machines scale, humans don't. It doesn't matter whether you're talking about a cotton gin or a warehouse full of GPUs.
Separately, is it "rising tide lifts all boats" or "pull yourself up by your bootstraps" that drives the common person's progress? You seem confused which metaphor to apply while handwaving the discussion away.
I haven't invoked the "bootstrap" cliché here, have I? Just the boat thing. They make very different points.
Anyway, never mind the bootstraps: where'd you get the boots? Is there a shortage of boots?
There once was a shortage of boots, it's safe to say, but automation fixed that. Humans didn't, and couldn't, but machines did. Or more properly, humans building and using machines did.