Sometimes. but I've generally found that the scent of any soap is to be enjoyed during the shave and really doesn't last beyond rinsing. I'm sure there are some that do however, in that case either match it or use unscented I suppose.
Upon further reflection, I use an AS that at least "goes" with my soap choice. I still don't have any issues with soap scent lingering, but I do this as a way to extend my "me time" and make my shave just a bit more special.