For many people the state is inefficient, illogical, evil and goes after them without any reason (ex: think COVID restrictions). Then why do you care about another way to label you, if you think they already do it, but randomly.
I feel that the privacy discussions do not acknowledge at all there are many other structural society issues. Sure it would make an evil-intelligent government have a harder time, but will not improve at all life with an evil-idiot government, and to me it seems those are a bit more prevalent (note: idiot = implementing solutions that will not solve the problems they claim they do, while them honestly thinking they do solve them)