The big difference I have experienced, and it is big, is in operating temps and how much more quickly the action gets gummed up with DI. Piston has a huge advantage in these two areas
I have a friend that ran 900+ rounds of crappy Tula through a basic M&P without cleaning before it started malfunctioning. I think the "runs dirtier" thing is WAY overblown for anyone who cleans their rifles occasionally.