I didn't know the JHC termed it the Henson Punch, but I do know it's a practice all puppeteers should be using as far as making the puppets talk. Something I've taught puppeteer-wanna-be's in classes, too.
Another such thing that a friend of mine whose sister did some work of some sort long ago with JHC said that you also want to add some particular things in the puppetry. Ie, "Bob" is one syllable, and we all mostly want to open the puppet's mouth at "bob" one time; however, they want to see more life--Now, YOU say "Bob." Notice when you finish the name your mouth has an extra movement to it? For that (maybe) quarter of a second your mouth is still in movement, so when you perform a puppet and say something like "Bob", give the mouth a little more movement at the end of the word.
Tilting the head some when it's not talking and paying attention gives it more life, too; as well as eye-focus. Never let the eye focuse leave the audience (except in cases like where the puppet is looking in the air or something as scripted), and also keep the puppet focused on its speaking partner, looking each other in the eyes.
I think I just went into a blabber-fest of info there...taking things off topic again. Sorry.