https://theconversation.com/ditching-bike-helmets-laws-bette... Has references to many papers
https://freakonomics.com/2010/01/19/do-bike-helmet-laws-disc...
On the other hand, if you are getting a helmet because you have to but don't really want to, your selection criteria will be different. You are less likely to invest in quality equipment.
The problem with dodgy headgear is that a badly fitting helmet will not feel right, or align well with your head movements. This in turn means such a helmet is a source of low-grade irritation and distraction - and due to bad fit, may actually limit your field of vision when you turn your head around. The latter clearly increases the wearer's risk.
Hence, a cyclist who wears a helmet only because it's mandatory is (sadly enough) more likely to get into dangerous accidents. They are unable to give their surroundings their full attention, and may also be suffering from ill effects of their chosen gear.
Net effect? More dangerous situations, with smaller safety margins between the cyclist and their surroundings.
Full disclosure: I prefer to wear a good, lightweight helmet that fits snugly and doesn't accidentally impair my vision. I have also experienced badly fitting helmets and consider them hazardous. This is the reason why I am against mandatory cycling helmets - regulation can not guarantee ergonomics, so with mandatory helmets the truth is that more people will be in the traffic with headgear that will make them less safe to themselves, as well as everyone around them.
Edit: According to Elon Musk and others.
The economic issues and the associated death increase was avoided only in countries which successfully managed to limit the spread of disease, which generally involved aggressive early lockdowns.
We should be looking at deferral of death, not just death count. Death is certain to everyone and I am reluctant to value everyone’s remaining life expectancy equally, at least as far as the healthcare system is concerned.
A much bigger issue is the lost of QALYs from lockdown but not from deaths, including the socio-economic impacts.
ONS have a more through report than a Sunday morning post from a phone.
https://www.ons.gov.uk/news/statementsandletters/estimatingt...
The people who mainly benefitted from lockdown measures are the over 60s
The people who mainly lost out were the under 35s
The recovery plan needs to address this - including fixing the massive wealth disparity. A generation of property owning shareholders who have retired have seen their wealth and income balloon over the last year (and decade). But it won’t, millennials will be screwed.