You sure you didn’t mean the steel load kicks LESS?
Nope same payload 200 fps faster. Noticable difference. 1 1/4 ounces of shot in both hulls, the lead load being in 2 3/4 inch cases and the steel load in 3 inch cases.
Thats why steel is ballistically inferior to lead, needs to be pushed harder.
If you are stuck with #2 shot have you considered heavier payloads. A 3" shotshelll can throw up to 1 7/8oz of lead shot, 3.5" 12ga can throw 2.25oz loads so its almost 2 for 1 compared to regular 12ga. The pigs you shot so far are about the size of large dogs. Might find a jump to 2-3 x bodyweight tests your setup.