It's funny that on average women already live 5 years longer than men, but every "gender equity" initiative seems more interested in increasing that gap than decreasing it.
There are actually people working on various causes of that - attempts to lower incarceration rates, initiatives for safety practices in work help men more then women. Initiatives against smoking and alcoholism make male lifespan larger. Less guns in society would actually lead to less men dead.
One problem is that tackling easy causes of male deaths is met with complains about making men softer or feminizing them.
You're kind of reinforcing my point that while there are things that incidentally help men, none of that is done in the name of "gender equity".
For example you mention incarceration and studies show a "sentencing gap" where if a man and woman commit exactly the same crime, the man will on average receive a longer sentence. But there is no call to reduce incarceration for men specifically. There are some calls to reduce incarceration for everyone. There are also bizarrely some calls to reduce it for women specifically in the name of "gender equity" (even though the "sentencing gap" already privileges women).
Basically it's politically incorrect to specifically help men unless you wrap it up in language about how it actually helps the people who matter, i.e. women and children.
There is one class of human being who are really at the bottom, and it's not women (or even poor women) but poor men. They die early, are more victims of violence, commit suicide more often, die at work an order of magnitude over women, have greater chance to be homeless, greater chance to have disabilities, have less partners etc etc.
But let's be frank no one care about them, even in Europe.
These kind of things aren't binary; some groups, on average, have it better in one area, and worse in another. But I don't think that should really come in to play when we're talking about one specific area (car crashing, in this case).
The world is complex, and when dealing with groups of people even more so.
One problem is that tackling easy causes of male deaths is met with complains about making men softer or feminizing them.