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7mmwsm
Not that I could see. The WRE Primers do sit a bit higher in the case pockets but post firing look very much like the Federals.
Pic shows Federals on the left, WRE on the right. From today's...

In another post referencing both these primers I said I would do a little test to compare them. I did that at a range today, shooting a couple of my usual loads in a Sako M591 .243W and Tikka T3...