I size/deprime, dry tumble & then clean the primer pockets & inspect the cases before storing them away for the next reloading session. Lee does state that sooty cases size better, but I like clean pockets so that is why I do it in this sequence.

Like "novalty" said, even with a TC sizer 9mm seem to be a little harder (because they're tapered cases & you make full contact) so a little lube every 4th or 5th case seems to help. Straight walled cases don't need lube with TC sizers.