It absolutely won't save that many strokes. I wasn't putting forth a complete solution. The simple fact is you need to everything that has been mentioned so far to get into the single digits and stay there. I was simply adding some focus to something that doesn't often get any spotlight.
And punch shots are a tool that every mid-high handicap should have. They are the ones MOST likely to need it multiple times per round. Like I said I'm not advocating hero shots, I'm talking about getting out of trouble with one shot so you can continue the march to the green.
[bad drive] + [reasonable punch] + [reasonable iron] + [2 putts] == bogey
[bad drive] + [reasonable punch] + [missed green with iron] + chip + [2 putts] == double bogey
I'm willing to bet either of those would be preferable to pinball in the trees followed by carding a snowman. Something I witness from mid-high cappers all the time.