Where I live, some people use the words "how are you?" as a general greeting instead of hello, good morning, et cetera.

They aren't expecting a response that answers the question. It's not that they're being rude, it's just a very peculiar colloquialism.

That might not be the case where you are but I thought it was worth mentioning.

I really don’t see it as being rude, you just seem to have two different ways of looking at the question “how are you?”

If you’re wanting to have an actual discussion, probably better to let her know that it’s been awhile and you’d love to catch up and talk.

I think it is rude! They should just nod or say hi!
I always wait for a response even if they pass me I turn around if I have to and when I respond I try to look them in the eye!

Don’t ask a question if you don’t want an answer!

Where I’m from “how you doing” is a common greeting that is more of a statement than a question

It's a long way of saying, "hi". That's all... They really don't want a detailed description of your health and emotional status.

That seems to be the American way of politeness.

Next time she asks you, tell her about herself.

Then it could be like just waving hello as she's walking by ...

When passing someone, “How are you?” is a statement of acknowledgement, not a question about your well being.

Idk. But it's very strange 😕

It means they don't care they just want to give the appearance that they care

they hate you

It means she has approximately zero flucks to give you.