You should be able to use the system as home like a Wii U controller.
If it has to be docked then to me this is a pretty huge tip off of a different performance mode at home for TV play.
What I would say in that case is that the "guts" of the NX being ejectable like a SNES cartridge make more sense. Eject the NX "cartridge", insert into your home dock, now you can continue using the NX screen/buttons as a home controller.