I was always taught “tendons in” when wrapping. Meaning the direction wrapping would go towards the inside when passing over the tendons, so as said above, clockwise on the right, counterclockwise on the left.
As for using boots other than as intended, as a teen, I had a Saddlebred who was a knee-knocker. As he brought his leg up in trot, he would carry his lower leg so crookedly to the inside, that he would kick the opposite knee. There are knee protection boots, but he would knock them out of place. So I started using splint boots upside-down, where the wider ankle part would cover the underside of his knee, and the boot would stay in place. Worked like a charm!
But one day another boarder got very angry at me, saying “don’t you know you are using those boots wrong?” I told her yes, I was aware they were upside-down, and told her the reason why. Seems she had just come back from a hunter-jumper show (she had a TB), and had gotten teased for upside-down splint boots! Guess I was the only one she had seen use them, so she thought that was how they were supposed to go!
Moral of the story: if you see someone using something “wrong”, maybe ask them the reason why they are doing it that way before jumping all over them.