You're quick making your assumptions. Thanks for calling FM Radio buggy, while in fact the Maemo OS is buggy and a hostile environment to FM radio, and the app has to work around all sorts of OS issues.

But no, except for powering up Bluetooth, FM Radio doesn't touch or modify Bluetooth in any way.
Petrovich sounds more like a candidate as it has to add unsupported Bluetooth functionality. But then, I'm also just makinng assumptions. One would have two test both apps and see which one is the culprit.