OK, then I’d chalk this up to a difference in communication assumptions, rather than that one or the other of you is “one of those types that…”
I can see why you’d think “a good person would want to listen to get to know me and my boundaries…”, but avoid that. Rather, just realize that you and she have very different ideas about how to support a friend. Just accept that her ideas are what they are. Don’t get into whether it ought to be different. Let it be what it is.
If you see her, you can say, “Listen, Sally. I’m not saying you’re a bad person. I hope I didn’t say something that implied that. I’m saying that you give great support if I were different than I am. There are people who want the support you give; I’m not saying you’re a bad friend. I’m saying that what I expect comes out of confiding in someone and what you expect are very different. You give me more than I want, and if the tables were turned, I’d probably have far less than you’d want from me. Rather than trying to make one of us over, let’s just be friends and support each other ways. Even married couples have to do that sometimes, after all, don’t they? That’s OK with me; I hope that’s OK with you.”