Don't know what the deal was with mine then...two have almost no foam at one side of the center ring...whether or not the adapter hits the paint, I really don't want plastic to spin on it either.
I am going to the regular edge pads. Also it'd be pretty obvious to anyone that if you take a sharp corner the this style of pad you could potentially strike the adapter. Most cars today don't have those edges, but some with spoilers would. It would be user error in those cases, but it wouldn't change the fact of the damage could have been avoided with a traditional pad.
Likewise a traditional pad if angled wrong would cause damage with the backing plate hitting.
I think the Edge is a good product...I just wasn't crazy about the WAVEs once I received them and the orange and green pads didn't hold up well after two cars of buffing. The blue, red and white were fine other than the very thin center on my blue pad. I did not have a need for the yellow.