I can see the reason for making this request. My feelings are mixed simply because this is the way it has always been. The change would probably be for the best, though, assuming it is possible. If the staff wish to differentiate swarm pets from traditional pets, perhaps a word along the lines of "minion" could even be used; "Minion of Kerolynne" sounds less clunky than "Pet of Kerolynne," but this is also an even more drastic change (even if it would apply only to swarm pets and not traditional pets).
Now if only we could get swarm pets and charm pets to be made "invisible" to F8! However, I suspect this is yet another client limitation.... :dumbsad: