Re: Jams
Here's what I'd check.
1) Get out the sharpie and color the entire round blue.
2) Load 2 rounds in the mag, blue one on top. Drop the slide and let it load.
3) Drop the mag, carefully eject the round into your hand and look at the ammo, this is especially good to see if it's done on a hardball round so that it's easy to see it's contact path
You should be able to see if it's feeding on the nose or farther back on the ogive.
There's a reasonable chance that it's hung up on the feed ramp, especially if you didn't let the recoil spring slap the thing into batter but were controlling the feeding by controlling how fast the slide was moving forward.
Note the marks on the round. Set it aside. Cleaning the oil off the feed ramp, feed lips, etc on the actual gun, color them blue as well. You want to see where the round is interacting with the gun.
If you find burrs on anything, make them smooth.
You might have to polish the feedramp. I'm not familiar with the P220, so forgive me on this, but a common problem I see with pistols is the feed ramp appears to have been gnawed to shape by a mouse. It needs a decent polish job.
Is it possible this magazine is an aftermarket manufacturer or was it dropped hard onto the feed lips by accident at any point? I do my best not to drop my mags out unless it's a damn good reason because this has a tendency to beat them up and screw things up.
I'm also assuming that these loads are factory, not reloads. If they're reloads, can you verify them in a chamber checker die?
If they're functioning for you well at the range, then them just might be BARELY functioning.
So there's some stuff to try out, when you get it done maybe you can post some pics of the feedramp (in focus) and the marker'd up contact points.