For me, the waggle is actually less involving than a button press.

When you press a button, you are doing just that, pressing a button. There is no pretense that you are doing anything other than pressing a button to make your avatar on screen do something. It feels accurate, precise, and our thumb is directly connected to the actions of Link's sword.

When I waggle, it creates a sense of flawed realism. While I am physically swinging something, it does not translate into the same movements on screen. Instead of pressing a button on the outside of the controller, I am swinging the controller to trigger an invisible button on the inside. It does nothing but create the sensation of delayed reaction and disconnect.