Wouldn't you want to wrap it the opposite way so it unwinds easier? As in "wrap it for a lefty if you're doing this right handed" kind of thing. I'm sure what you're showing would work, I'm just thinking what might work a little better.
No, you have to wrap it that way so it spins and precesses in the normal direction.
If you experiment trying to throw a top upside down, you will find that it is more difficult than what you would expect (at least after you learn to throw tip down!).
I created that throw after experimenting quite a bit. My goal was to use the same string length and same wrap than with the usual throw. It is a weird hold, with the top grinding the hand on the exit instead of rolling, but it works for most tops in a large range of sizes.
You need a smooth bowling-type throw and a sharp pull at the end. If the top comes back standing, the throw was too strong. If it comes horizontally, you did not pull hard enough at the end.
Jack: the short-circuit looks tiny in your hand!