This suggestion I have is less serious and more throwaway. In UFO Defense, Sectoids and Floaters had medics. In TFTD I think only Aquatoids had medics. They were kind of an irrelevant class, and would only serve to discover aliens you hadn't seen yet...which was probably helpful the first few times you played the game but worthless once you became a seasoned vet.
I was thinking, maybe the medics should get an alien med kit. When an alien is wounded, whether on the ground or standing, the medic would make a conscious effort to run over and heal the poor guy.