this is probably related to premiere seeing the original clip metadata and applying the LUT automatically. In my opinion where you misstepped is when adding an additional look to revert that automatic LUT application. You should have REMOVED the automatic LUT.
Or to rephrase for clarity, in your case I think premiere is applying two corrections to the original footage and when you toggle proxies on the “auto LUT” is not being applied because the original clip metadata is dropped/lost on the proxies when they are generated/transcoded.
(yet another issue with Premieres proxy workflow)
Also Premiere is not making proxies of your adjusted clips it is making proxies of the original clips before and adjustments or corrections. You will need to render out proxies manually I think via media encoded and apply the LUT there if you would like to make altered color space/gamma proxies.
hope this helps