From personal experience I have only seen CRS selectively attack another member of its own genus. My own CRS colony quite happily inhabit their tank alongside hitchhiker cherry fry that have grown to adult size over the last two months, neither are bothered by the other. In my community tank I have Red Rilli and Red Cherry shrimp happily co-existing, both appear to be more interested in eating than fighting/breeding.
I would be inclined to think they'll ignore each other, keeping shrimp species separate is more about preventing unwanted hybridisation, but I'm sure there's some that like to fight.