"Stop worrying what other people think" is bad advice anyway.
It's not like that's a possibility for people with anxiety.
Give concrete advice: self affirmation, reflective writing, journaling positive feedback....
It's also bad advice in general? The moment you stop caring what others think you become a terrible member of society. You'll go around smelly, haggard, rude, in your pajamas and absolutely fail in life because you "don't care what other people think"
I don't agree in the slightest. Because if you care, you won't do that probably. Self care is not about others, but about yourself, hence "self". If you only bathe, are gentle, dress... because of others, maybe you have different issues
That's not what that implies. I've seen that argument from religious people describing how atheists must be unruly because they have no incentive to meet a good afterlife.
I can still be clean, look how I want, and be nice to others just because I want to and I like it when others do the same.