So you would support the denial of tax payer funded medical treatment to anyone injured in a bicycle accident who was not wearing a helmet
That funding would be via ACC not "The Taxpayer".
If you want to pursue that route, then forcing compulsory registration of all bicycles, including payment of an ACC levy would be the result, but we'd also need to make it compulsory to register skis and snowboards, horses, stiletto shoes. All cats should be de-clawed, dogs fitted with rubber dentures, cigarette lighters made "adult proof", and introduce compulsory blood alcohol limits before use of a frypan. Would you like some more non sequiturs to add to your collection?
You forgot making rugby a non-contact sport...