Designer, Developer or Both?

In looking at job postings across the web, I see quite a few jobs titled “Web Designer” listing PHP/MySQL/.NET, etc. as requirements. My skills are heavy in the use of Adobe Suite, XHTML, CSS, JavaScript and SEO and I think of myself as a Web Designer/Frontend Developer. I dabble in some of the “backend” development so I can speak intelligently to developers, but as a designer, I prefer to focus on the tools/skills that enable me to create good design.

So my question is; Are companies/HR people truly looking for a designer with these skills or are they confused as to what difference there is between a designer and a developer?