As you might have guessed, I was a Marine Helicopter Pilot. Following the established emergency procedure(s) saved my bacon more than once. What impressed me about the video was the amount of testing they did. My thought is that if you don't add power temporarily, the steering wheel correction will be greater. If you are comfortable with that, then just taking your foot off the gas would seem to be alright. I have not flown a helicopter since 1990 but I can still remember those emergency procedures.
2006 Monaco Camelot PDQ
2009 Saturn VUE XE FWD