You mean like adding dice that can get multiple hits per die as the OP suggests?
Well yes that is a bit of powercreep, and that's not what most of us would want in the game.
Most times the idea is that you get 1 and only 1 special die, not 3 of them. So even if you had a double hit/crit it would at most allow 1 more hit.
But most times it's more along the lines of adding an extra hit and focus to the die, so rather then getting more hits then die rolled, but rather just an impoved chance of getting a hit.