I uninstalled it and returned to nitro for now which works without issue. Cache works fine and it does not cause problems with privacy. I can only hope lscache is updated for opencart in the future and it fixes my problems
You only reported 1 issue and you asked for disabling cache for logged in users. You got what you asked for. Nobody has an advantage if you only complain, but you don't give LiteSpeed details to improve cache plugin for OC.
If so, it has to be examined why the code doesn't work. Basically the code is correct. If it doesn't work the reason can only be a typo for the cookie value, but it is up to you to give it a chance to correct the code.