If you mean FPV mode as in camera gimbal locked in the horizontal plane, giving you the banking etc, then I know with Go4 it behaves same as normal flight mode with any sort of RTH.
I am not a Litchi user, but imagine it would behave the same, whether using it to simply fly, or in a programmed mission.
It's probably a good idea to just try it to confirm for yourself . . . with the drone a few hundred feet away, use RTH button to test that process, then take it out again and try failsafe by turning controller off.