I think that the job titles will segment over time, much like the days of "Webmasters", we now had front-end developers, web designers, back-end developers, and the like. UX Designer seems to be a catch-all for anybody that works in UX, and it doesn't really fit. In agencies there do seem to be UX researchers, Visual designers, UI designers, but in companies (at least here in the Netherlands), it seems that UX Designer can be someone who just deals with wireframes and visual design.
Personally I think that if you have UX in your title, then you work with the user. If you're making wireframes based on heuristics and best practices, then I think UI Designer is a much better fit. Happy to hear others thoughts!!