Many species tend to treat cleaner's different because of their symbiotic relationships. I, for instance, have a very nasty sixline who harrassed many peppermint shrimp to their deaths. I put the cleaner in hoping it wouldn't turn into a $30 snack, at first he tried to go after him, but i must say, this shrimp has an attitude. A month later, they totally ignore each other's existence.
Not sure if I got lucky, this shrimp is never shy, he chases after the fish to clean them.
That being said, I've seen triggers being very aggressive to inverts but I also believe there are exceptions to everything. A very well fed trigger might never go after on, but the chances are he will, and that would be my guess.