I'm like Neurovore.
Maybe for a 1st write, but not anything after.
My problem with writing and music in tandem is that I tend to listen to actively listen to music. I don't do passive listening very well, or very consistently.
Sometimes a brisk piece is helpful to keep me from landing in the doldrums though. The enforced tempo can be great for mandating mental activity.
What I DO like doing is brainstorming while listening to music. Especially dramatic concertos, or operas. Has to be a multi movement piece though. Stand alone ones don't tend to have enough contrast.
And some times you just have to break out the O Fortuna
Clearly, your fingers do not develop phantom pain from the experience of having to play Carmina.
It's glorious, amazing and incredible, yes. That's matched with draining, exhausting, stiffening and aching. Marriage of Figaro is the same way. At least Carmina has its easy bits though, Mozart always takes it out of you. He's so damned unforgiving.