I think these make sense when applied to someone using them as the aux/tert, ie. an ENTP is TiFe. But when it's the dominant/inferior, then you have too much conflict to combine the two as if they work in tandem. The relationship between them in a person's psychology is more antagonistic, IMO.
I'm drawn to the "reflecting" category because it sounds more like Ji, whereas "projecting" sounds like Je.
Actually, those would be ways to group also (the way Jung groups):
IP aka Ji-dom
EP aka Pe-dom
IJ aka Pi-dom
EJ aka Je-dom