Here's my take: the bear thing is causing such a visceral reaction that it is very hard to take a step back, not take it personally and have a rational discussion about it. Even if you know the statistics. Even if you're absolutely certain you'd do the right thing (or maybe especially then).

I was exposed to a somewhat similar experience in college: while walking through the campus one evening I realised the girl in front of me was a good friend of mine, so I rushed to catch up. When she heard me she quickened her pace close to running, and only stopped when I said her name and something like "wait up!". I was just happy to meet a friend. She, on the other hand, was absolutely terrified, and told me all about it as we walked towards the exit.

That evening I realised that women experience the world much different than men. That there's an underlying level of potential violence that they evaluate and weigh against potential benefits from encounters and interactions with men in almost all social contexts. And knowing that has recalibrated my behaviour to a certain extent, as I realised women can't afford to give me the benefit of the doubt, especially in contexts where they feel vulnerable.

I wish more men would get this point, especially in their formative years. It's not a judgement on their character when women that barely know them are careful around them. Trust needs to be earned. And for a woman, the cost of misplaced trust is too damn high.