It changes everything.
It won't matter if a large percentage of jobs have been automated. The ones that haven't will go up in demand with every habitable planet that is settled.
They nearly went extinct because their population outgrew their planet, and probably would have if they didn't make contact with the Hanar, a species that had achieved interstellar flight who took a few hundred thousand home with them before the rest died off.
When I wrote that comment I guess I was probably thinking habitable in a similar way to Earth. Possible to thrive on the surface under ambient conditions.
So, thats getting them to orbit and moving them somewhere.
Plus I'm not sure why whereever they end up won't also be automated given you can ship 10's of millions of unemployed people cheap, one assumes robots would also be cheap to ship.
Of course, you might disappear down the awesome rabbit hole that is his Youtube channel.
Resources are bound.
And it will not be viable to send resources from space.
Space colonization is just an excuse for subsidizing the military industry nowadays.