I hunt with both depending on conditions. If I’m leaving my property to squirrel hunt I bring both as I’ve been out before and wishing I had brought the other gun.
If I had to pick one it would be the shotgun. It’s what I would grab if I’m trying to bag as many as I can. 12ga I use 1 1/4oz of #4 or #5 (#4 preferred) through a full choke. For 20ga I use 1oz of #4 or #5 (#5 preferred for higher pellet count not much difference but some)again with a full choke. I feel the full choke is important, tall trees make for poor shots with anything else where I’m at.
When I shoot a .22 it’s usually my 10/22 shooting subsonic hollowpoints. Preferred brands being Fiocchi and Aguila. The Remington and cci offerings are not as accurate in my gun. Still a big mini mag fan but I like the quieter rounds.