Shoot through happens equally with any pellet at very short range. At mid range then the .22 might slow a tad due to its frontal area but being heavier holds its energy better. Only .25 at range is most likely to slow considerably through a flesh tissue medium. But theses bigger calibre's have more weight if they miss so break brittle farm building materials more. .177 tend to break up, but cut through thin metal sheeting more easily. The all will dent thin metal sheeting.
On oak beams then all can bounce straight back at you, the bigger the pellet the more likely. .177 more likely to penetrate and stay. .22 ding and drop off. .25 bruise and drop off.

The velocity would have to be very low, or lead very soft, too soft, to stop damage from a miss. Going through a body cavity isn't reliable to counter over shoot damage to backstops. Farmers don't like paint damage to their multi thousands Tractors and machinery. Broken tile or sheeting is expensive to fix.

7 ft/lbs would deliver enough for a kill at "in the barn" ranges, and might not break as much stuff.

Maybe some vermin controllers might give their experience here?