With a .22 it's a good idea to buy several boxes of ammo from different makes in different bullet types and then test them to see what is reliable and accurate in your rifle. Not all ammo shoots the same in every rifle.
My Win. M52B really does well with Remington Thunderbolts. My 10/22 does really well with Remington Golden Bullets. My SIG 522 doesn't seem to care whether I shoot Winchester or Remington ammo in it, just hits a different POI vs. POA with different brands. My dad's old Savage M29 did really well with Winchester Wildcats (which where garbage in my M52B).
My dad and grandpa used .22 shorts for squirrels, rabbits and even grouse for decades. Head shots work.