I'm not sure if anyone will find this relevant, but I had this conversation (for about the fifth time) on Friday with one my employees ....
He is an EXTREMELY avid coyote hunter. He competes in tournaments as often as possible. He has a $4,500 thermal on one coyote rifle, and a $1750 NV on another. He has hand held thermal and NV equipment, has call blaster equipment, digi video recording equipment, etc. Two weeks ago he and his hunting party called in and shot FOUR in a single field. I watched the thermal vid of this.
Anyway, that is to lay the ground work that he's not some 20 year old with a Savage Axis sitting in his truck bed drinking Busch Light and hoping for a shot. He's extremely serious about coyote hunting (and goose hunting ... just came back from two weeks in Canada).
He started with a 20" 5.56 AR, but found a "great deal" on a really neat 18" 6.5 on a predator hunting forum (Predator Masters ??? something like this). I looked at the specs and told him it should be a good enough for his use. He bought it, and stuck the $1750 NV optic on it.
The 6.5 will not put a coyote down cleanly. I've watched enough of his thermal videos where he clearly hit one just to have it run off. They've recovered a few this way, and found the lack of fragmentation has been detrimental to quick stops.
He ended up building a 16" 5.56 (really nice rifle with a cerakoted camo Aero matched upper / lower set). He's back to DRT shooting coyotes with 45gr.
Purpose of bringing this up ...
Fragmentation leads to massive trauma / blood loss which leads to quick death.
Small pin holes that don't destroy the central nervous system or heart may lead to death (slow blood loss) but it won't be a DRT situation.
ETA: the relevance being ... shorter barrels reduce velocity which in turn reduces the likelihood of projectile fragmentation. Therefore, a 10.5" or 11.5" 5.56 barrel will probably be less effective at producing "DRT" (dead right there) kills on coyotes. The coyote would probably die from its wound (entry / exit) but the probability of recovering the carcass is lower (since it might run off to die from blood loss after the adrenaline wears off). Anyone that has been deer hunting will understand what I'm talking about. Therefore, I guess the shooter has to determine their purpose for hunting coyotes. If they want or need to recover the body (sell the pelt or turn in for competition purposes) would say "no" to a short barrel but if you're just trying to keep predators off your property then "yes" to a short barrel. We had a big coyote problem at our hobby farm. My wife and I shot them with everything from a 20ga shotgun to a FN Scar-17. We didn't care about the bodies ... and actually preferred for them to run off and die in the woods so we didn't have to deal with their stinky / flea ridden / nasty carcasses.