This guy's 'no-touch' throws:
http://www.youtube.com/watch?v=tNAWff9Daqg
...are obviously not what are being talked about by certain people, who are referring to what happens when a fist or arm comes flying at your face, and due to possessing a very wise outlook, and instinct for self-preservation, you move, and take ukemi - because you'll get hit in the face, otherwise.
If you stand there, with your best posture imaginable, not over-extended, and I swing a sword at your neck, will you move - or will you stand there and 'make me throw you'?