Yup, mine does. Of course, the only thing I use it for is adjusting the volume as I use the iPod for playing songs. You have to point the remote at the door, but it'll go through. The fresher the battery, the less precise you have to be pointing the remote.
Still, in my class--daily driver--I always get comments on having the original radio in the dash. I've even gone so far as to pull the back speakers and throw in another package tray I have so you cannot tell at all that I have any stereo equipment in the car. I don't do that too often, though, as it is a pain to work in the back seat. Too cramped for me.
Works well, if you ask me.
Still, my tape deck is on its last legs and I need a new, reasonably priced, head unit. I'd like a Alpine, so I'm interested if anyone else has one in the glove box.