I just picked up a shot-gun shoulder pad,,, it fits either side, and is the best thing I've used in my limited rifle days.
I'm in-corprating a home stitched pad of miny pockets that with be filled with lead bird shot.
About 40 ish small pockets 4"x6" area. 3/4 of a lb in weight.
The pad claims felt recoil of 85% from a 7mm magnum.
My lead pillow pad will even cut it down some more.
Keep in mind that reduced powder charge loads bellow the 85 too 90% case capacity "could affect accuracy.
Large cases including my 30/06 benefit form fuller volumes of powder charges.
I'm sure that others will chime in about this as its well worth finding out what works best when working with large case volumes and the reduced powder charges.
Don from Western Canada.