If you enter the helicopter before the medkit animation completes the default camera direction for the player will be to have them looking at the cyclic.
EDIT:
I switched to an external camera and the cause seems to be the pilot entering the dead pose.
Re-entering the helicopter normally or re-entering after the FAK(self) animation has completed properly does NOT cause this issue.
I've repro'd this issue with the hunter also, seems to apply to all vehicles.