I will be honest with you, I have shot a lot of guns in my life M107 .50 cal, 2010 .300 Mag, .338 Lapua, .338 Win Mag but a 3.5" turkey load has definitely been the most painful. Now I was shooting them out of a Mossberg which are known to have some recoil but I fired two 3.5" shells and said hell no and went and bought some 3" and never looked back lol.
The issue of excessive recoil with the heavier payloads of lead
is one of the reasons I prefer TSS over lead.
I can't even imagine shooting a 2 1/4 to 2 1/2 payload.
In a 12 ga. with TSS, instead of shooting, say a 2 oz load of lead,
can go down to 1 3/4 oz TSS, noticeably less recoil,
while still having the same or greater range as the heavier payload of lead.
But in the 20 ga, 1 1/2 oz of TSS seems to recoil even less,
even in view of the lighter gun.
Just saying, one of the advantages you can get with TSS
is LESS recoil while still having the same or greater effective range
of a much heavier lead payload.