PWP is correct. A finishing polish on a wax applicator by hand should knock down any streaking or high spots with one pass after 24hrs. If you want to re-coat the area(s), wipe down with Eraser and reapply. Any kind of AIO may introduce silicone and/ or polymers that are 'unfriendly' to the bonding of a coating.
And to your question regarding '...Did Klasse just remove my cquartz completely (I doubt) and why would it remove all hazed cquartz so effortlessly?'
Just about any polish will knock down excessive residue or high spots after a short 24hrs. have passed because of the chemical cleaners (majority of time- carrier solvents) and mechanical cleaners (abrasives) of the liquid, plus mechanical action of the media (pad/ towel), + force applied, and THE BIG idea- 24hrs. is not enough time for the coatings' chemical structure to fully cure/ bond/ adhere to the substrate (underlying paint system) even if all panels were baked with an IR lamp. Thus, the 'soft' nature of the uncured coating + the polish = deleted residue/ streaks/ high spots. So, I would absolutely re-coat said area(s) to be absolutely sure the AIO did not remove the underlying coating.
Best regards,
-Gabe