You haven't followed this like I have, if you had you might not have disagreed. Successive governments have stubbornly blocked every determined attempt to introduce compulsory helmets. The attempts haven't merely been asking for legislation, they have included some well presented private members bills backed by large numbers of members and all the usual safety organisations.
The bill thought to have the best chance was that applying only to children, but even that the government swiftly blocked, not allowing it to proceed. Which main party makes no difference, it is policy not to have compulsion. And I repeat, in transport matters the EU has primacy and can overrule, and in the EU helmet compulsion has absolutely no chance of adoption in any lifetime.
And as for this argument:
"Now I know the majority were probably not due to cycling accidents, but even if just one of them was, would it not be worth it to have it compulsory to wear a cycle helmet? "
No it's not worthwhile since the premise is fundamentally flawed. It's certain that A & Es have to deal with far more pedestrian head injuries than cycling ones. Should pedestrians wear helmets? The same applies to the huge numbers of head injuries in and around the home, there is no end to this process.
Cycling is not inherently dangerous and it's a disservice to cycling to pretend it is. Some cyclists are dangerous, but that is an entirely different matter.
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I did understand your original premise about the Government not wanting to introduce compulsory wearing of cycle helmets, However, you have not given me a reason why they are so reluctant to do so.
You state that my premise is flawed about cycle safety not being relative as far more accidents happen in the home, and that many people are injured whilst walking in the street. If we adopted your logic, why stop at not wearing cycle helmets? we could dispense with the need for cycle lighting at night, after all more people are probably hurt whilst walking downstairs. I admit that last statement was spurious, but I think your opinion that just because people get injured in the home or on the street, there is no need for head protection whilst cycling is equally so,
Finally, you state that cycling is not inherently dangerous, try telling that to the families of the six people that died in December last year, riding their bikes in London. I agree, cycling it is not as dangerous as mountain climbing or bungee jumping, but the speeds that the majority of cyclist travels at these days, does increase the risk of bodily injuries, and as I've already said, if one of those deaths could have been avoided, it's well worth it. After all, in your defence, you state that many politicians and safety organisations have supported the need for compulsory cycle helmets, why would they waste their time and effort campaigning, if helmets did not save lives?