My trainer has a lovely, well mannered pally stallion. He's so well mannered that most people, even experienced horse folks, don't know he's a stallion until they can get close enough to see he's still intact.
He NEVER screams at the girls, and even when he's being bred he's a consummate gentleman.
She rides him on trails with mares all the time, and if anyone acts up it's certainly not him, even if a mare stuffs herself up under his nose.
I've often wondered if he has a low sex drive, like some men. He just doesn't seem at all interested most of the time, even if the mare's in raging heat.