I use both depending on conditions. I've taken multiple coyotes on a set with both, sometimes with all but the first at a dead run. The bolt is slower to work but the more powerful round usually drops the coyote right away. Sometimes with the AR I have to shoot twice at the same coyote to make sure they are down before moving to another. Both have pros and cons.
One of my main pair is a bolt 243 with a 4-16x Huskemaw for more open country, wind, or when I have other hunters with me set up for the close shots. I like how flat and fast it shoots so there is less worry about range or wind inside 300 yards.
The other is an AR set up with a 3-12x Huskemaw and a 45 degree red dot sight. It gets the most use. I like leaving the scope on 6x and using the red dot for close shots most sets. If one hangs up out there a ways it's less movement than when I wanted to turn up the magnification, less chance of being spotted. If one hangs up quite a ways out I can dial up the turret and magnification. I shoot a 73gr bullet with a .400 BC that does pretty well on longer shots if I have time to dial and set it up. Since going up in bullet weight I have less coyotes that spin or carry on after the shot at any range. My old ammo was some reman stuff that shot great, but only pushed a 55gr V max at 2950fps from my 20" barrel.
I take both when I go hunting. The 243 is always ready in the vehicle or UTV if I jump one between spots. It shoots much flatter so I don't have to think as much about range. If I jump one and it stops to look back I can just shoot most times.
The AR can stay in my Eberlestock scabbard for when I get out to walk that way. I shoot heavy bullets in it and they drop quicker but I like how hard they hit. I hate that Hornady quit making the Superformance 73gr ELD-M ammo, my rifle loves that stuff. I'll be experimenting again once my last few boxes are gone and getting a new turret tape made.