They are highly territorial and will usually attack any other shrimp that cross their paths. However, most other shrimp are too fast for the CBS to catch, and avoid its territory in the 1st place.
That being said, I've had a CBS for over a year and it has never injured my other shrimp, fish, or corals. I've seen it try to grab my saron shrimp, but the saron shrimp move like bullets.