Since Doom would be kind of a mess, I feel like yea, Tempora would move in with Doom temporarily to make sure she's still taking care of herself and such. Due to the nature of Nico's powers, and his own flair for the dramatic, I feel like Nico would not wake from his coma until he was needed, so pretty much only when Doom and Tempora were in danger. I haven't decided what'll happen to them yet.