I'm trying to work on a power ballad, at 82BPM, even 16th feel, and it has 1/8th note pushes on 2 and 4. However, no matter what style I pick, the push is always a 16th note push, not an 8th. I have tried numerous styles, and they all do it. I tried changing the chord setting, thinking maybe something got turned around in the software, but the 16th note push and the 8th note push are identical.
The 8th note feel styles are a little better, but they tend to drop the push note.

Is this a programming glitch? Am I the only person experiencing this?

Sorry, don't have an immediate suggestion. But can you load the example file for us to look at more closely. I am wondering if you are working with Midi which I expect would properly adjust or with RealTracks which may not adjust so well?