You have never had a deer run right in front of you at about 2 inches off the ground. I think that your arguement that it is just as easy to grab the whole quadrent and shove everything forward is lame, no offense.
First at higher altitude airport you might need the mixture leaned to get the necessary performance and if you are going to grab two knobs then what is going to stop you in a hurry from grabbing three. And if you forget to push the prop forward at high density altitude airports you might not clear possible obstacles
Second, every POH that I have ever seen has as one of its landing items, "props full forward." I know that everything that a POH isn't absolutely correct and has the tendency to change over time, but it is in "every POH" and they can't all be wrong.
Third, you are teaching bad cockpit management skills to your students. Why not just move the darn knob forward on final when you have a free second rather than creating the need for extra extra steps and thoughts in the first few critical seconds of a late go-around.
Bottom line, most of the time your method works perfectly well, but the one time that one of your students uses this method and the outcome involves bent metal or possible injuries, it is going to come back and haunt you. I don't care how you do it yourself, but when you are teaching students you have the responsibility to make sure that they are able to fly the aircraft in a safe manner at all times.
I hope that this doesn't sound like I am harping too much but this is my honest opinion.