British Soldier, I believe you might be overlooking the weight factor. With the added weight on the end of the muzzle, the felt recoil will be much less than with the unsuppressed arm.
Example:
I had the opportunity recently to fire two .30-06 rifles, side by side. One was my 1903 Springfield, the other was a Savage bolt action, with a Gemtech suppressor affixed.
Of course, the 1903 gave me that nice tight shove, and snuggled up to my shoulder like an old friend. Not uncomfortable at all, but still a good recoil impulse.
The Savage, on the other hand, felt like a .223 when going off, I could fire it without hearing protection, and it was putting good .30 holes in the target at point of aim at 100 yards. Good stuff!