Yup.
I just hit the pile with my saw and cut like a mad man (an aging one mind you), then if I get too backed up or surrounded by rounds too deep I switch gears & back my splitter into the rounds and start splitting. Toss into trailer right off the splitter, stack to final spot off the trailer. Sometimes I can cut my way through the whole pile before I need to start splitting - the steadier I can stay at the cutting, the quicker it goes, I can get myself into a rhythm that doesn't need any measuring of where to cut and I can usually get cuts lined up so I can cut though more than one log at a time. Unless there is some wild reason I can't get rounds split before next year I won't be stacking rounds - haven't had to yet. I don't do piles that often, usually I'm working right where the tree fell.