I think that teaching people how to recover from a nosewheel-first bounce is very important. I have been very lucky in that all my instructors have been excellent.
A couple of years ago I landed a C172 at EGSR which has a pretty narrow runway - and I hadn't flown a 172 for a while. It also had the old-fashioned ASI where the difference between 40 and 80 kts is about 2mm of needle travel, and it's only really possible to read the speed to an accuracy of about 5kts. These factors caused me to (gently-ish) land on the nosewheel, and bounce slightly.
I applied back stick to stop the next bounce, and made a second landing on the mainwheels about 3 seconds later - no harm done.
Bounces are going to happen. If people are trained to deal with them, far fewer nosewheels are going to be broken!
