Ooof, yeah, that's pretty off.

I haven't been able to replicate this issue in my own copy of Band-in-a-Box, I've loaded up the Style Demo and the resonator sounds great. I tried transposing, and the resonator transposes just fine along with everything else.

Do you have any plugins or patches applied to Guitar 2 (the resonator track)?

I'll ask some colleagues about what could be causing this too, maybe they know of something I don't.