Lee shell holder on the left, Redding on the right. I measured the two shell holders with calipers and the measurement highlighted by the red arrow is larger than the same measurement highlighted by the yellow arrow. I tried to come up with a theory as to why one of these might cause variable primer seating depths, but gave up. In the end, I put the Lee shellholder in the press and seated 10 primers, and all of them seated below the base of the case. It's not definitive, but it certainly is suggestive that the Lee shellholder is built to work with the press primer seating geometry and the Redding shellholder is not.

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