To deal with the recoil of an 8 pound rifle shooting a 338 250 gr at 2600 or a 7mm 150 gr at 3300 fps, I learned to use soft AND wide recoil pads.
My favorite is the Limbsaver large grind to fit that I do not grind.
The reasons for this are that recoil pain starts somewhere around 20 psi on the skin:
1) A soft recoil pad spreads the recoil over time as it compresses.
2) A soft recoil pad spreads the recoil over area to comply with the shape of the shoulder.
3) A wide and tall recoil pad spreads the recoil over area
Together, these factors keep the worst spot on my shoulder skin below 20 psi, and I never feel any pain at all. I can shoot the magnums all day and not feel pain.
My father in the 1960s would get his shoulder bruised all black and blue from clay pigeon loads in a 12 ga shotgun. The recoil pads back then were hard as a rock.
Get rid of those narrow and hard old recoil pads.