I've used a .223 for quite afew yrs on coyote. IMO, unless a shooter, makes a perfect shot on a long one. Then there's a good chance of having a runner. I've had some run quite far, with a less than perfect shot.
My farthest estimated "1-shot" kill was around 300yrds. Broadside 55gr Win Silver Ballistic Tip. For some coyotes, especially the large ones. The .223 lacks some thump past 200yrds, let alone 300 or more.
Not to mention, drop & wind drift, way out there.