Goofy looking is relative when you're sporting an upturned KFC bucket on your head.

I would have a hard time drilling a 28mm hole in the top of a Les Paul. Hopefully not too many kids wreck good instruments doing this modification poorly.
A more classy way to do it would be to set up a dummy speed knob on a post with a switch underneath. an awesome way would be to keep the knob functional with the push switch underneath. These ideas are for us mere mortals, Mr. 'Head is welcome to do whatever he pleases.