JE, i ended my statement with, at least for me. wasn't saying you were incorrect, but now i understand the differences we have.
i always punch the primers out with a depriming tool first. never with the dies. actually i don't use any expander ball that would hold the primer punch on any of my dies..
then i clean the primer pockets.
then i tumble. don't like running the dirt in the dies either. this is why if i tumble first, the media gets in the flash hole and makes it a much more difficult process to deprime because i can't get the depriming pin in the hole. media still gets in the flash holes, but it's much easier to clean out without the primer in place.