Lox, your seem to be shifting the ground somewhat. You've gone from "if you can hear it you can notate it" to "you can come up with custom notation and teach your custom markings to others and then they can read it". The two aren't even close to being the same.

In terms of interpretation, musicians are as likely to reinterpret stuff they have heard as they are to reinterpret stuff they have read.

Well, sure. That's not what I've been talking about, though. I'm talking about tunes that have rhythmic elements that aren't generally open to interpretation by musicians and that don't fall within any normal subdivision of beats as displayed by standard musical notation. And by notation I mean the system that all literate musicians can read, not some customized language they have to learn before they can read the tune. Talk about trying to make it mysterious!