Shinzen Young is an amazing teacher and person. I have listened to hundreds of his talks and really been able to adapt his teachings and learn from him very quickly.
Part of this, I think, is because he is such a pragmatic teacher. He doesn't seem to have any other agendas, and he doesn't hype anything up. He's going to tell you like it is.
In this case, I don't think he actually says the word "NonDirective", but the technique he is teaching is truly a great example of NonDirective meditation.
He notes, "It's also good to have a practice that involves no choices whatsoever - not even a choice as to directing what's happening in attention. Some people call this choiceless awareness, some people call this just sitting."
I think that when you say "choiceless", some people may get a little panicked at first. It's not that you're depriving yourself of anything at all. You're not dispensing of your free will. You're just letting things happen, which is extremely important if you want to see many of the benefits of nondirective meditation.
If you can spend 30-60 minutes a day in this state, you can walk into the rest of your life ready to do the same - to walk into a room and have no preconceived notions about what should happen while you are in that room. This is equanimity. If you don't have preconceived notions, there will be no disappointment. If there is no disappointment, you'll have removed probably the most friction you can remove from your life with one action or decision.
Anyway, we'll let Shinzen do the talking here. It's a great video.