Id rather have Specific Companion Flashpoints where its you and your entire crew with unique rewards, maybe companion specific gear? instead of having "solo mode" for existing flashpoints
That would be really nice if the flashpoint dropped gear specifically for companions. Great idea. As for the OP's idea, I wouldn't mind it. There is no basis for the rewards to be different IMO if the difficulty is the same but you are stuck with companion (lack of) AI. Personally, I would just rather use human companions. Much less obedient, but more potential.