Saying all triggers will eat shrimp is like saying all reefers smoke crack. I have a niger in my tank with a pair of cleaner shrimp and they have been fine together for a while. The niger gets cleaned by them on a daily basis. I also know numerous people who have kept blue jaw triggers with cleaners with no problems.
However, each fish is different. You can't predict what is going to happen. The only way to find out is to try it.