Doesn't matter much because people care quite a bit about the planet, so if advanced technology liberates people from most of the constraints they currently live under, the planet will do very well. (Dogs, cats, seals, foxes, etc, should do particularly well.)
Well, is the current global economy aligned with the planet? Isn't AI's main effect (and soon robotics) to accelerate and intensify the existing processes?
I don't know what that looks like "post-scarcity" though, but it sounds like we're going to harvest natural resources even more efficiently.