With the exception of the Winchester DynaPoint and CCI plated bullets, the .22win mag is loaded with jacketed bullets. These typically have a 97% lead 3% tin core which is fairly soft.
The CCI have a copper plating that is roughly .002-.003 thick irrc from grinding the tips down on some TMJ's I removed the plating from the tips to render them "soft points" back around '03 for hunting pigs on a state WMA which required "small game" caliber firearms which meant .22 Rimfire or similar.
Again, once under the copper plating, the alloy is rather soft.
A cast bullet,even with a gas check needs to be somewhat harder. I use wheel-weights plus ~2% 95/5 Leadfree solder added to improve casting and hardness (antimony-tin) for my .22 cf cast bullets. As such, they will tolerate up to about 2,200fps with acceptable accuracy.