We have coyotes here and they can be a “problem” at times. I think there are too many and they don’t have a natural predator here, aside from humans.
I don’t know exactly what type of fence would keep them out? People have tried all sorts of things here. My BO has several close and high strands of barbed wire, no climb, and the hottest fence I’ve ever come across. The fences are high and strong, but they still find a way.
I’ve seen many people looking for donkeys and Great Pyrenees (pairs or more) recently. Some will just shoot at or actually shoot the coyotes if they’re at the right place at the right time with a gun. You also have to be skilled with shooting in the dark at times.
I’ve witnessed my neighbor shoot a warning shot (shotgun - loud) and the coyotes initially scatter, but come back later that night.
Sometimes it really isn’t as simple as “fence them out” or “just fire a shot out there” but sometimes it can be.
I don’t support or agree with this guy (featured in the OP) at all, but I’m just pointing out that coyotes can be a nuisance to livestock and not so easy to deal with. Sometimes they are, but other times it’s very frustrating. We have so many here and there are just carcasses from their kills (deer and whatever else) everywhere.
A friend of mine is more up to speed on the LGD stuff and owns a pair, but doesn’t use them for that, and yes, they are often used for an “alarm” but will fight to protect the flock/the weaker creatures that they’re guarding. Some of these LGD will protect the flock at all costs. Usually it begins with a warning, but if that warning isn’t enough, they will “go into battle” essentially. I think it can depend on how many coyotes there are, how brave they’re feeling, and perhaps how hungry. Typically if you have enough LGD’s that’s enough for them to feck off, but if you’ve only got one, that’s not enough.
The goat farmer around the bend from me only has one Great Pyrenees mix, and he will bark at the fence all day long, but one isn’t enough, IMO. His goats do come in at night, so perhaps that’s why he isn’t concerned.
I have mixed feelings about “dogs at work” sometimes, but when they’re bred for the job and set up right, it can be fastinating to watch them work. Whether it’s gun dug stuff, herding, scent tracking, or guarding.