I don't think it's weird of you at all. I do think it's weird that he's weirded out.

I think I've read all of the papers that my current therapist has published. Most when I was deciding whether to work with him, some after I started therapy. It hasn't come up specifically, but I assume he sees it as fair game and wouldn't be surprised to know I'd looked it up. His CV is on his website, after all, and some of his publications are on topics that overlap with an interest of mine in my specialty. His body of published work is an interesting mix of more technical psychopharm stuff, and more personally revealing psychoanalytic papers.