I thought popping quelling strikes at start of boss/trial fights was common knowledge.

I don't think I've ever had my Drg steal enmity at start of a fight, but always have elusive jump just in case. Mnk doesn't have a way to reduce enmity, but unless they use PB/b4b/IR and go all out at start, they don't have dps to tear away enmity at start.