Cool video… but it only briefly gives the reason.

Zebra are assholes. They aren’t striped horses, they’re striped donkeys, and they’re ten times as mean. And donkeys aren’t really mean, they’re just lazy. But they’re not as “nice” as horses. That’s why ass became donkey, we used to call them asses and then ass got reappropriated to mean a person’s hind parts, or a person who was basically just acting like a donkey.

Zebra are worse. They will not put up with your shit and they will fight you. Pretty to look at, but don’t get near one. It probably won’t let you live to regret it. Just… leave zebra alone.

Besides, even if you could magically domesticate a zebra, a good horse is better.