Olympic shooting is just a different beast. Look at the differences in scores; it's fractions of a point, in most cases. Air guns simply aren't popular in the US, while they're one of the very few options open to most people outside of the US. And, TBH, there's not a lot of support for the Olympic shooting sports in the US, aside from possibly trap.
The "conventional" guns aren't conventional by any normal definition. I suspect that the air rifles are slightly more accurate than the .22 rifles, because it's really hard to get perfectly consistent .22 ammunition. I've known a few people that did that kind of target shooting--I think they were all Finns?--and holy hell, they're really particular about controlling for every possible variable.
Trap uses very normal shotguns, aside from being extraordinarily, exquisitely made; the over-under shotguns are works of art.