Yes, that's exactly the point because it means your reds are brought out with higher contrast etc. and purple and pink are variations of red at some point in the line.
I think the OP has a wonderful idea. Nothing sucks worse than me chasing down a mob thinking it's my alliance's to see it was claimed by someone else when I actually hit attack or a spell and then feel incredibly stupid.

Or vice versa, seeing another alliance running around waiting for a "wipe to claim mob" and thinking its their's when its actually my own and they end up having a rough time because I'm twiddling thumbs waiting for them to get pop.