Of the bonnets that I have, I do not believe any will fit over the thickness of the Edge pads. The ones I've used barely fit over one 6" pad, highly doubt they'd fit on the double sided pads.
I use mf bonnets on top of my 6" edge pads all the time. Works great. Undoubtedly the easiest way to get the majority off. Usually just use it after polishing though. Prefer by hand for the wax.