Is it bad I want to be called his girlfriend?

I've met a boy in January and he broke it off in April saying he couldn't handle the long distance. However, shortly after he drove out to see me. To this day he still does that, takes me out to eat, buys me gifts, calls me pet names, we have sex but still just calls me his best friend to me and everyone else that asks. He doesn't see anyone else and neither do I. He says he I live too far away to be his girlfriend (about a 1 1/2 hr drive). I'm really, really happy with him, but I've seen him get upset when guys hit on me in public so I'm not sure why I'm not his girlfriend? Is it bad I want that title knowing I have everything that comes with it?