Are Blue Throat triggers safe with inverts

[revgeoff]

My Blue has been in the tank since December (he is about 5 1/2" now...grows fast) and has not touched any of my shrimp, the few corals that I now have or my 6" squamosa. Although he is the largest fish, he is by far the least aggressive. I am adding a pair of Crosshatch (if they come in on this order...please please please) next week so hopefully they will be as docile.
From what I understand, the Blue feeds from the water column and not off the reef. This is the basis for them being "reef safe". I have added snails and a sand sifting star in the last month and he isn't even interested.