

I would be fine about being asked, asking wouldn’t affect the relationship, but I would say no because I don’t want it.
If they did it anyway, or without even asking, I would end the relationship and probably make a police report. How many other boundaries are they willing to cross or have already crossed? Is there a camera in my shower? It would make me incredibly worried to deal with that level of disrespect.
I’ve never heard a woman complain or be confused about not being asked out by strangers.
It seems like your sources are a fair step into the manosphere, and you and your sons would have a lot to gain by distancing yourself from that kind of influence. Nothing is as unattractive as bitterness, and you are sounding dangerously close to bitter here, and your attitude will influence your sons approach to life and relationships.