History doesn't support this. Bad ideas can be remarkably persistent. Yes I fear Jung's ideas if they give rise to beliefs that are harmful to me, or to society. An example would be biased stereotypes surrounding the introvert / extravert dichotomy.
Disclosure: I'd probably test as an extravert, but would advise against identifying as an introvert in a business setting due to the bias against introverts.
Interesting, I would have considered the idea of pretending to be someone I'm not for extended periods of time to be far more harmful than any potential disadvantages I might experience in a busieness setting for being an introvert.
I don't think any undue stereotypes around the introversion / extraversion dimension come from Jung, but have simply been attached to the concept by ill-informed society. It's hard to fault Jung for this. Introversion / Extraversion is also part of the Big 5 and has more substantial scientific backing than the foundations laid by Jung.
I think the question becomes how you identify. It's one thing to casually mention to your boss that you don't like social gatherings, quite another to have it become part of your official identity or electronic data record, so that people can use it as a sorting key. And of course a sliding scale between those extremes.
There's lots of things about me, that I can reveal to some people and not others. I want to be in control of the narrative.
Disclosure: I'd probably test as an extravert, but would advise against identifying as an introvert in a business setting due to the bias against introverts.