Things you can train for include: being sensitive to minute changes in level/frequency/time, picking one source out of many, precisely placing items spatially in stereo, listening for specific types of audio artifacts.
Golden ears could include perfect pitch, but in the production context pp might be translated to a specific frequency, rather than a note.
I don't know what rock I've been living under, but that's the first time I've heard the brain referred to as a 'meat computer'. What an image! In any event, a quick search surprisingly didn't turn up any Wikipedia page, bit mostly pages (e.g. 1) denouncing the idea of the brain as a meat computer, associating it with the flailing concept of phrenology (designating regions of the brain as controllers of specific tasks).
I'm not a neuroscientist, but based on all of the pieces of evidence describing brain function I've consumed over the years, it seems obvious to me that the meaty neurons brain to appear to be 'computing'.
1. https://mindmatters.ai/2018/08/the-brain-is-not-a-meat-compu...
Or rather, we who have decades of experience in this field, have over average capacity for processing music and the sounds/patterns we have studied/practised. Then again, that is true for every field.
I do not however, believe "most people" (with less developed hearing) are relevant to why this "battle for the organs", came to be.