Gotcha, I haven't run into that issue yet, not much crimped brass except some I bought that was already deprimed. since you're doing two steps anyway though, it wouldn't add much labor to deprime, then tumble, then do the rest.
I load rifle in batches on the single stage though, different strokes. Maybe one day I'll try a chargemaster, for batches though I just don't think it'd be much if any quicker than my manual powder measure (old Lyman 55)