To put it bluntly as a fellow American:
Everything in the British gun world was focused on form and function. Gun fit was everything, and as such, recoil taming was a far less significant issue. It was all about raising the weapon to the eye as fluidly and flawlessly as possible, having excellent purchase of the weapon, the eye instinctively lined up to the sights, and the weapon was fired upon game.
The super majority of American gun world is soulless mass manufacturing. It is using the wrong part in a myriad of the wrong applications to keep costs down. Considerations of gun fit are non existent. As such, recoil taming is the talk of the realm trying to overcome incorrect length, pitch, and drop using modern polymers that can be slapped on the soulless guns for a starting price of $34.99.
The silvers pad was designed to provide traction against the shoulder at a perfect viscosity to slide from the ready position with the weapon under the armpit, gliding slightly outward and upward as the comb comes to the shooter’s cheek and the muzzle has already acquired the target many movements prior.
Silvers pads are part of a gun philosophy that emphasizes fit. Recoil pads on the opposite end are absorbent and sticky, trying to cause grip and reduce recoil on a badly fitted weapon.
You can go to Seville row and get a pair of shoes made to you, or you can throw orthotics and Dr Scholls in a Walmart shoe hoping your back stops hurting. A silvers pad was made for the former approach.