I can quantify the differences between gas vs inertia in one word; reliability & simplicity (ok, two words
a. Kansas hunt, we drove up knowing that there was a
possibility of getting hit with a winter storm. Second day we were there we got hit and woke up to two feet of fresh snow. Everyone with gas guns were stuck with single shots because their shotguns wouldn't cycle. The only shotguns that worked were the two inertia shotguns. Temps were single digit, wind chill below zero with 30 mph gusts and snow blowing sideways with visibility about a hundred yards.
b. Alaska hunt for eiders, the guide suggested inertia shotguns which unfortunately a couple the guys didn't have. Cold, wet snow/sleet, wind and we were a hundred yards offshore in a low-freeboard skiff. The only shotguns that worked past the first 15 minutes or so were inertia driven. The gas guns went tits up from sleet and cold, the second they got wet and icy they were done. The Super Vinci's worked like a champ.
fwiw, the guts from my Super Vinci can fit on the palm of my hand. It's mind blowingly simple and doesm't get fouled from mud or debris. The whole shotgun takes seconds to field strip and breaks down into three pieces.
Ask yourself, how many gas operated vs recoil (inertia) operated semi-auto pistols do you see on the market? Not a damn one that I'm aware of.