I had considerable problems with Orbitron during our recent 'time zone hiccup'.
One thing to suggest is to right-click on your system clock and "Adjust Date/Time..." then go to the "Internet Time" tab and sync with one of the listed NTP servers. This will set your PC clock to +/- 1 second or so of proper time.
Also ensure your time zone is set - since we're past all possible time changes, you need to set it 'correctly'.
Finally, make sure the Orbitron time zone settings are correct.
If the satellite position is same in the two predictions, but the azimuth and elevation are different, then the difference must be in the position of YOUR STATION. Perhaps you have entered the station position incorrectly? I'm not familiar with Orbitron, but a common problem with many programs is confusing east longitude with west longitude.
On the other hand, when you say "they look the same by eye", that may not be the best comparison method. How accurately have you set your PC's clock? Low orbiting satellites move over your station quite quickly. You want time to be set within a few seconds of the correct value. You don't want to be a few minutes off.