Seems like pretty stupid behaviour on a tank's part to start rushing and mass pulling with a random healer. I've seen too many wipes where a tryhard tank pulls half the dungeon and the healer just can't keep up because they're not ridiculously overgeared.

By all means, if the healer is keeping you up without breaking a sweat start pulling more and faster, but there's no need to go HAM straight out of the gate unless you're damn sure the healer's up to the job.