It means "programmers who agree with Jonathan Blow and his opinions on what good programming is."
JAI doesn't implement abstractions (like objects or a GC) that might get in your way. JAI supports gradual refactoring and you can change your mind about the way memory is layed out ("AOS" (structs of arrays), delegates), and still use the same code. Want to shoot yourself in the foot with uninitialized variables? Fine!
In general, if you know what you are doing, JAI will allow it. JAI is similar to C in spirit, but C is a rather poor implementation in comparison.
For instance, C++ has operator overloading, which when misused leads do horrible, unreadable code. Still, the feature can be useful in some cases (vector/matrix library comes to mind). Java on the other hand avoids this feature because it doesn't trust the programmers with it.
As for JAI, it mostly means Jonathan Blow and his peers. I mean, he's obviously making a language for himself and whoever he hires. There's no point in catering to a different, wider audience. (The reason there's no point is because he doesn't need a whole ecosystem to support his language. He's trying to make it worth the effort even if he was the sole user.)