The major issue I had with this is that it plays into the alpha male misogynistic ideal of strength.

Some of them will almost certainly see it as a badge of honour. That they are so dominant that some stupid women (their opinion) will misinterpret that and get into trouble with a bear.

I was trying to come up with a way to rephrase it.

Something like would you rather be alone with a man or separate but you both have to eat a bowl of dog shit.

If women choose the bowl there are nasty consequences for both and it’s clearer they would rather deal with that than the man.

Nowhere near as catchy though…