Tried it. It does not feel any more natural either way.
Really? If you backswing with the hand to the catcher, you don't have to rotate the forearm at all. You just raise your arm.
If you have the ball to the catcher in your backswing, as you come up your forearm has to rotate 180 degrees to get to 12:00 with the ball facing the catcher.
However, if they both feel fine then perhaps it doesn't matter which you do. But of course what matters is what works for your daughter. And I like to stick to more natural movements when possible.