You are correct Bill.
I have many shotguns with loose extractor cams. I think most of them came that way. I am not pressing out their pins to tighten them up. I might narrow a slot in a fore end, or flatten/widen a barrel lug, but probably no pin pressing.

A sidelock Miroku is typically a very well made gun. I think I've seen them w/caps and without. If the caps could be removed, you might be able to unscrew the hinge pin and tighten the cam. That's a whole bunch of work for a couple thousandths.

Out there doing it best I can.