For horses, I installed high tensile wire 26 years ago. You will hear horror stories from many people about how a horse got hurt. I will tell you a horse is an animal that's suicidal. A horse can get hurt on any fence. wood, pipe, mesh, barbed wire, etc. My experience with high tensile has been great. The only fence damage I've ever had was inflicted by a machine. (tractor or mower) Trees that fall on it, are cut off and the wire springs back up.
High tensile relies on being electrified... AND the horse being trained to avoid it. Actually, any fence has to be electrified for horses because they will rub on it and tear it down.
As a horse newbie, listen to experience. It'll save you money and heartache. If you want more details on building and maintenance... pm me.