I'm definitely a commuter, because I commute.
I'm not a tourer because I'm not particularly interested in long rides. For me 30mi is a long ride, and I do that only a few times a year. I've ridden 50 miles in one go (or 70 miles in a day, with long breaks), and I have no interest in completing a century.
And I'm not a racer. Even though I've crept back up to 250, I can't stay motivated to ride hard/fast on my daily commute, track my progress, etc.