Well... Maybe.

For a Dyson shell like they had on the show, the liveable surface area would be close to identical. Try to get too far north or south of the equator and the Coriolis effects (and the fact that the floor is no longer perpendicular to any centrifugal forces at play) would make it increasingly difficult for people to actually live there. You could still install solar panels or heavy machinery there but you'd probably want to avoid anything too maintenance intensive.

Of course if you've got access to Star Trek style artificial gravity generators, one could probably find a workaround for this. But it does call into question how much living space is actually needed at some point.