I don't dance around. The less movement the better and often can't choose footing. The horizontal plane is the most important to me.
Animals move in a 2D plane. Get that right and you optimise your chance of hitting them. You might miss the one you're aiming at and get the one beside it, or behind it. But they don't stack on top of each other, grow taller or sink into the ground. So get it wrong and it's a guaranteed miss. I've had dogs bolt over a couple of metres straight into a poorly shot stones path. But I've never seen one jump 2 metres into the air to get hit.
If the vertical plane is more important for some reason (shooting through a gap, or a nice line of piglets heading away etc,.) then I just throw it like a stone.
https://youtu.be/QQfQYvS-QII