it does it on new Starline and Remington and on once fired federal and Remington.I think, like most others, the case mouth is the likely problem.
You have multiple headstamps, does it do it on one or all?
Only on new, or once fired also?
You have a wide range of thickness, if you chamfer and de-burr, does this variation change?
I am wondering if the thicker brass, is actually a burr or turned edge on the mouth of the case, that is being pushed off as the case enters the die. I would expect that to be on a single headstamp and probably only new brass.
this morning I chamfered a couple cases and it still makes shavings.