Kragman1 said, "Here's the thing about springers - they're fun because they're a challenge...".
OK. I get that. But I've got enough "challenges" to keep me busy all day long. It's kinda like Danman said above, "Sometimes you just NEED to put holes in pop cans fast."!!
Years ago I bought a big, beautiful Benjamin Titan NP in .22. Mounted a scope, collected a a variety pellets, set up a target and bench rest in the basement with live, close up video of the target, and started shooting. No matter what I tried the paper always looked like a scattergun pattern board.
After reading here and other places, I came to the conclusion that it's really kinda simple: that big steel PISTON slamming to a stop (before the pellet moves) not only seriously jars the scope and mounts but causes barrel harmonics, no matter how you hold or don't hold it. Then, the stock (the resistance to that slam) is offset to and below the axis of that slam which causes the muzzle to rise. All this means that you would have to hold the gun in exactly the same way every shot to get any consistency/accuracy. Between both hands, shoulder, cheek, and a rest, all needing to have the same pressure and resistance for every shot, it's more than a challenge. On a bench it might be possible, hunting not so much.
The only way to get a springer to cooperate with physics is to have a hybrid system where the piston compresses the air before the shot, then the trigger releases the air to the chamber, like a PCP. Viola!! NO SLAMMING going on, just the recoil from the pellet acceleration and the compressed air leaving the muzzle. It would help to have the butplate in line with the bore, like an AR, too.