I've used just about everything
Here are things I've learned..........the welded can come apart, the woven can stretch, the wood can warp & break, any nails, staple can come out, electric can go out. Horses can find the "one in a million weak spot" (they should buy lotto tickets
). Buy a type that doesn't rust...galvanized or such.
So, I try very hard to be sure to put a couple strands of electric inside each pasture, about 3-6" OFF the fence of choice. This will be the most effective thing you will ever do to preserve your fence from the horses it contains. They can't then rub butts, are less inclined to try to climb it to get to another animal, etc.
I like the woven field wire that has smaller openings at lower 1/2 to help keep small animals out........I use both electric and solar panel boxes for the wire....feeling that if the electric goes out, a line is broken, etc., at least ONE of the alternating fields is probably still electrified for adjacent pastuing concerns (esp stallions). I have say, one field in solar & the next in electric, etc.
I like the cattle panels for fencelines that have concerns ofbeing challenged by either my animals or others from outside. Especially useful for stallion areas, etc. My wood fence is viewed as more decorative than functional....so, I also add some wire to keep them from sticking heads thru between the boards.....
Just think the use, and go from there. All have safety concerns, some more than others.
ADDED: One of the BEST fence repair in an emergency is a cattle panel
You know, it ALWAYS happens when you don't have time to do the right repair. I always keep a few hanging on a wall in by trailer shed. I can grab one, cover the damaged area and feel pretty good that it will still be there when I return to do it right.