They do have a reservations number. I called last time and asked loads on a flight just out of curiosity, and she said that she cannot give me that information. But I also did not identify myself as a pilot, or even that I listed, so I wonder if that would change anything.
I wouldnt care so much about getting upgraded (although that would be great) as much as I don't want to be rude, especially if they know I am on the flight, which I don't know if they would.

If I did, would they think I have a motive behind it other then being nice (such as hoping for an upgrade to 1st? lol)