Actively listening to music engages pattern recognition, prediction and working memory in the listener. It makes sense that this would disrupt concurrent 'creative' or more realistically, pattern matching tasks.
However, this experiment does not seem to cover non-concurrent listening to music, aka the Mozart effect. It could well be that listening to music enhances creative ability when subsequently not listening to music. So that regular music listening enhances ability to make creative pattern associations over the long term.
You're welcome! Yes, 'fewer controls' is probably better. Re: API/SDK, which would be more suitable for you, API or SDK? What platform do you use, unity/unreal etc., or are you talking about a web game? And would you want rendered audio or note data, such as MIDI from the API/SDK? And if SDK, what language, or maybe it's not important? Good to get ideas so I can plan the most useful delivery mechanism for the most people.