Or maybe some just dellude themselves (and e.g. lose congnitive capacity with music, but conflate their hapiness boost for increased productivity, etc.).
This "differently structured brains" was the once popular idea behind different "learning styles" (visual learner, etc.) who has been discredited since.
Evolutionary it's more probable we have quite identically structured brains when it comes to main functions, and just have different e.g. cultural tastes on top.
Another example of this broader phenomenon is galvanic skin response. People ran with the lie detector BS and then the whole field basically died for a few decades, only to eventually be rebranded "electrodermal activity". Probably your smart watch will be collecting EDA in a few years.
It was about the repeatability of counting to a minute, and he experimented on the difference between seeing a timer tick in your minds eye and hearing a count increment in your head.
He had been experimenting with what he could do while counting, and found he couldn't count while talking, but could count while reading. John Tukey didn't believe him, and thought it should be the other way around. It turned out Tukey and Feynman counted completely differently, Tukey by visualising and Feynman using internal speech, and so Tukey could count while talking, but not while reading. So, not the same person doing both methods.
1) You don't think people have different learning styles? 2) You don't think that I know what distracts me while I'm working? 3) You don't think that evolution produces _vast_ diversity, and that people have vast differences in brain structure?
Strangely enough I find working in the "white noise" of a coffee shop lets me hit flow state even better than silence. Not sure if thats more due to the "i'm in this place to do the thing" effect or the actual noise though.
Music on the other hand, I cannot program while listening to. Brains are different.