It sounds like you're presuming those who put a label on themselves don't want to change themselves at all; one could also imagine that those who put a label on themselves want to change themselves most of all
These don't mean the same thing. You can be the thing you are and not be helpless. For example, if you have ADHD that's just a part of who you are. That doesn't mean you can't take medication or form processes to help yourself and mitigate the effects of ADHD.
Also, in my experience, people who choose to never label themselves are not better off. They typically do have some sort of condition, sometimes multiple, and they actively choose to do nothing about it because they're in extreme denial.
I see this with parents all the time. "My kids doesn't have ADHD! Stop trying to label him!". Okay great, but little Timmy is about to flunk out at fucking third grade. Let's do something about it.
Those who do not see or do not believe a label can easily believe that's just the way they are. Those who see and believe a label can easily use it to identify what they can do to help themselves.
It sounds like you're presuming those who put a label on themselves don't want to change themselves at all; one could also imagine that those who put a label on themselves want to change themselves most of all