Armed Bear, he's talking felt recoil. For me at least, a good big bore rifle stock seems to make recoil not feel as bad, and most shotgun stocks don't seem as good at absorbing recoil to me.
But you are right, numbers don't lie and the Lott is a high energy round. The Lott is usually running around 2300 with a 500 gr. load so recoil is probably around 30% more than a Win Mag. I shot a 338 Winny pretty regularly in a fairly light Mannlicher stocked carbine, it wasn't even close to a Lott.