I get your sentiment, but I feel an important advantage of this approach is that the markdown file is much more appropriate to put in version control than a Word document would be. Also, the TeX typesetting is just that bit nicer than what you'd get from converting the .doc, but that's perhaps of secondary importance for some :-)
PDFs are fine. But, IMO, Markdown is better, because it's also demonstrating a skill that's usable in your job.
Honestly, I use Word for writing formal documents on the rare occasion when it happens, such as letters to the government. But not for resumes. The formatting is just too frustrating. I've been using HTML and markdown for that. www.rocketships.ca, for example. I never send .docs to anyone - .pdfs or raw text only.