The pedestrian and helmet is just a poor piss argument because most off the people have no idea how statistics works.
How many people walk? Certainly way way much more than people cycling. Hence there is more people injuring themselves walking down the street than cyclist riding down to the shop.
One thing it can prevent is people riding bikes. What’s a bigger killer, heart disease or head injuries?
That is a bad argument too. People who will stop cycling to work “because” of making helmet compulsory will probably take the bus + walk, so they will still exercise.
And as no wearing a helmet how much you hurting yourself on the head is oing to coast to the taxpayer?