Obie, thank you very much for this term, I did not previously know it. (I am also clicking the thank you button on the bottom right of your post).

I think Jockeys shows a good demonstration of the Coup de Maitre (although he does not call it that) on his new high definition shaving video. In fact, I started doing it only after seeing him do it on this video.

Call me a fool, but for the second pass on the upper lip, I tried the fools pass this morning, but did it holding the razor stationary and used my upper lip muscles to push the skin down over it. It worked quite well, and I have never had my upper lip shaved so smooth. However, I can see this is a very tricky procedure and I am still debating whether to do this regularly or not.