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I'm not sure I'm following. I agree Bates had schizophrenia, but then again schizophrenia is a psychotic disorder. I'd argue that the title Psycho isn't wrong. The problem is that in daily speech we use the term "psycho" to describe psychopaths, or, what one in psychiatric terns would call antisocial personality disorder. But Bates was by no doubt psychotic.

Interesting diagnosis, you could be right.
Films have a poor track record of psychiatric diagnostic accuracy, possibly the most famous being Hitchcock's Psycho, whose titular character was, in fact, clearly a schizophrenic, and not at all psychotic.
I suppose "Schizo" doesn't have the same ring to it, but an entirely different direction for that title would have been a better all-round decision IMHO, even if only to not contribute to a now entrenched popular misconception about two very different conditions.
"It's too late Always has been, always will be
Too late."

Thank you for explaining that. As someone with diagnosed BPD, it frustrates me when movies toss around terms with little understanding. I certainly have no behaviour that reflects her in the slightest.

I agree, I didn't see her as borderline. I saw that just as a sign of her faulty science type mind. I think she wanted to be medically knowledged but wasn't really all that great at it. And people self-diagnose a lot; doesn't mean they're correct. She knew she was mentally ill in some sense.just diagnoses herself wrong, which is believable and in character.
I agree with the OP that it had more schizophrenic/psychotic undertones.

I'd have to rule out Borderline. I have that and I couldn't relate to anything she did in this film. I wonder why she would even think that.