To that last point though, it's not just that men will kill rape you, and if that's how it's been interpreted then I wish I was living in that happy little bubble too. The reason a man (or human for that matter, the point stands) is worse than a bear, is that people are capable of sadism.
We're taught not to let kidnappers take us to a second location not because rape inherently devalues your worth, (although that is very much a real aspect of rape culture and a major problem, I'm not denying that) but because your chances of survival decrease dramatically when you're taken somewhere else. If a stranger is willing to rape you, especially to kidnap and rape, or to rape in a secluded place, they're probably a lot more likely to be capable of killing you so you can't tell.. Especially in the heat of the moment when they panic at what they've just done.
I always understood the man and bear thing as, you're going to die either way. At least from a bear, it's only intent is to eat you. There's no morality and it isn't trying to make you suffer. Human beings are capable of torture. You run into a stranger alone in the woods, you might be repeatedly raped, and then cut into, and get beaten or humiliated just for their enjoyment. They might decide to see how a person reacts to having a finger cut off, just because they can. And then, after all of that, they'll kill you anyway.
As I understood it, the fear has never been solely about the rape, which of course is horrific, it's about all of the other depraved ways they could make you suffer before also killing you.
At least with a bear, if you're REALLY unlucky, you'll be dead in 12 or 24 hours. A bear can't keep you in a basement for years and force you to have children or slowly drive you insane.