You are supposing that with more productivity people will emit less carbon but there's no mechanism for that

More productivity means the employers just demand more from the workers

Yeah, this seems like a textbook case where one could apply Jevons Paradox.

	▲	twoodfin 16 hours ago \| parent [-]
		OK well now you have to look at changing the economy-wide energy mix or embracing de-growth. Switching data centers to 100% solar or nuclear or … solves Wired’s complaint but not this one.

"with increases in productivity, we'll all work 2-4 hours a week and maintain the same output!"

No, you'll work 40 hours and just do 10 times more in that time. Same thing.