I can testify to what the grouse is saying.
I recently sold my 204 Ruger APF AR-15. I bought it to be my coyote sniper rifle, but when it was -20 degrees at 2:00am during the January full moon it didn’t always want to cooperate. I was never satisfied with the groups I got either, usually 1.5-2MOA.
Instead, I bought a Savage Axis in .223 Rem with a Boyd’s stock that I found at a pawn Shop for a good price and a roll of the dice. Had my gunsmith chop the barrel to 16″ with 1/2×28 threads for my can and I was off and running.
I shoot MOA or better groups with 53 grain Superformance V-max Hornady factory loads. Many coyotes have died since, as well as one fox, which I regret shooting–they’re so rare these days.
That said, I love all the calibers mentioned–I wouldn’t hesitate to take any of them out after varmints.