Hmm. We have bears that come around our property regularly, and although they are black bears, which aren't especially dangerous under normal circumstances, I would rather meet a man than a bear. It is possible to have a tense run-in with a female when she has cubs, and frankly they are very large and intimidating and unpredictable. The school next door keeps the kids in if there is a bear around.
Now the grizzly bears, out west, are dangerous to humans and I wouldn't go into bear country there without a gun. Even more so with polar bears, they are extremely dangerous and won't usually think twice about eating a person. There's no question of outrunning a polar bear or a grizzly.
I am a little skeptical that most women saying they would rather meet a strange bear have actually ever really met a wild one before.