For tying to a trailer, I use a quick release knot and a panic snap and leave a regular lead attached to the halter and looped around the neck For those whose tying education may be questionable. If the panic snap works - great. If it doesn’t, a quick yank on the rope releases it.
For tying elsewhere, I use my regular cotton lead with shitty brass or white metal snap. Those snaps will give way before a halter. Crossties, I prefer shitty brass or white metal double end snaps. Much more easily replaced than a halter or a horse.
Bull snaps are for cattle that you can tie fast/snub without the same worries as tying a horse fast. Generally. Once in a while a cow will put on an interpretive dance performance, but it’s really rare, and they generally get over themselves very quickly without doing themselves any damage.
I’ve seen panic snaps not release when there is enough pressure on them. I’ve also seen horses really losing their marbles that you don’t want to get close enough to grab for the panic snap. A proper quick release knot is the better choice, but it has to be a proper quick release that will not over tighten and not a slip knot that will tighten to the point of having to cut the rope!