Probably not right for me to reinterpret what vonbraig is saying but I think I get where he is coming from. Music is not literal like reading a book or hearing a conversation where everything is laid out the same for each listener/observer to take in. Doesn't mean that all interpret written or spoken information the same way, but the communication is precise. Music is imprecise and leaves all interpretation to the listener.
Although I haven't heard a lot of vonbraig's music he doesn't seem to be playing standards so a vocal story line is absent. This means that there is potentially a reference gap unless there are some stylistic or cliche clues. All of the reference is within the listener who may or may not resonate with whatever the player (composer) was feeling/thinking. Mike (nice sculptured air comment), is keen to tell anyone who listens that he could care less about whether they get where he's coming from or not. He does what he does, you, as a listener, do whatever you do.
When writing/playing music that has few(er) references you have no idea what anyone else will hear/think. It's a stimulus without a defined receptor.
Vonbraig's statement seems very personal and is possibly shared by a few others but doesn't apply to the way most play jazz. Jazz (as played by most) is far too predictable and formulated to an extent that one can easily guess at what will be played within a range of possible notes. Many play with little or no attempt at communicating anything other than one's technical abilities.
As a generalization about jazz I think the statement's unfortunately wrong. As a statement of intent of what could/should be, I think it's right on.