If we assume that laundries are easily identifiable on the network, I disagree that using one actually removes the taint. If tainted coins enter a laundry, then any coins exiting the laundry from that point on will share some of that taint, including the coins that the original owner of the tainted coins got back. Thus the result is the same as using CoinJoin, although the taint dissipation is executed faster in the laundry case.