You state that these stories are dishonest; do you have anything to support that?
You also state that you object to this sort of “propaganda” because it does not apply in the same way to males. I agree that differing sexual attitudes towards men and women lead to different experiences for men and women in the situations you’re describing. But why would this lead to an objection? Pointing out life events that have helped some people (and likely wouldn’t help some others) seems like a positive thing to do to help those who could be helped (in this case, women with sex-negative upbringings).
The 3-6 months is in a liquid savings account. Beyond that, you want your money in investments that will earn interest. They will be more volatile, so aren’t advisable as an emergency fund. They can also be harder to access.