LOL! Yep, same here, painted Cuisinarts and the wife uses those almost exclusively. I, on the other hand, reach for the Gunter Wilhelms, so they don't get used that much. I strop the Cuisinarts at least once a month, and she hardly never complains about dull. When she does, that's when they'll get sharpened again.
Nope. I don't plan on taking the stone holder off.

But 8.01mm does get me thinking that perhaps you got an out-of-spec, too tight, LM8UU?
Oh, and regarding the unit rocking back and forth, did you check that one, or more, of the four attachment screws perhaps extended past the bottom, pushing a lump into the rubber cushion? I seem to recall someone on this thread experiencing such. You should have received eight screws of the same diameter, but four shorter than the other four. If you continue to have the rocking issue, maybe check that? I'm pretty sure you want the four shorter in that location, with the four longer attaching the tower to the slider.