Over the past few years I've had the opportunity to become friends with a wide range of individuals. One thing that was difficult getting over was my mother's constant nagging about how:
I disagree with 1) and 2). My own experience tells against the assertions.
I don't know other people who hold those views, but maybe it's because of the people I tend to befriend (clearly there is reciprocal thinking).
Because of my lack of knowing people with such views, I can't be sure as to whether certain groups have a higher propensity.
I think that mentality is akin to the whole "keeping to your own" train of thought. It is just by design to keep people separated to cause division. It all ties together: racism, ageism, ableism, political parties, etc. It is all designed to keep us away from the only true realization and that is we are all HUMANS and we need each other. Just my thought.
Your mother was probably trying to protect you from unwanted sexual exploitation. But, overall, her advice was bad. A number of my best and enduring friends have been women and I never tried to hit on any of them. Also what matters in friendship is not age, but intelligence, shared interests and values, and ability to open and honest with each other.