Kinjanki: I think that's the point of his question. He's assuming that I do have a screen and wondering why I wouldn't just use the Mini's remote.
Mozartrules: Actually, I can boot up the Mini and launch iTunes without ever turning on a computer screen. The way I currently have things set up, I'm using my big screen tv, a rear projection DLP, as my computer screen. I do this so I can watch Netflix instant movies through the Mini. But I prefer to avoid too many on/off cycles, so don't turn it on when I don't have to. I have a smaller computer monitor, but using it would involve switching out the cable every time.
Actually, I prefer using my iPhone as a remote anyway. It's probably just personal preference, but I think I just like to have access to my entire library in the palm of my hands.