I was so glad to read your post! I thought I might be the only one who has been helped by using shampoo on their face....!!
About six months ago, I tried using Suave Men's Deep Cleaning shampoo (not the one with condition) on my face - it completely cleared up my acne and I haven't had a breakout since! (This was after 35+ years of terrible breakouts!!!)
I do occasionally get whiteheads, but they're small and disappear on their own.
If you have found zinc is an effective acne controller for you than you should just buy a bar of zinc pyrithione soap and not mess around with Head & Shoulders. Noble is a brand of zinc soap available on amazon and in specialty pharmacies. When I used Head & Shoulders for a few months to wash my hair it didn't seem to clean/rinse well and it's got extra chemical goodies in it too. I don't think I'd use that crap for my face!