I hear ya, jan, but not where I live. Where I live, making eye contact with a stranger is not done. Period. And as more and more people live in big cities,I suspect that there may be more people with a similar day to day experience.
LOL! Wandering around London or somewhere like San Francisco or even beunos aires in my experience making eye contact with men on the street does not end happily. Nothing like having something vile shouted at you or being followed down the road. Perhaps I'm stunningly beautiful or maybe I look like a working girl, but funnily enough a lot of women who are neither get the same treatment. In fact that might be one of the reasons cabeceo is not the primary medium in many countries. Women are so used to avoiding the gaze of strange men, cabeceo goes against a woman's instinct for self protection.
If one wants to dance in the milongas of Buenos Aires, the cabeceo is the best way. Verbal invitations don't come from good dancers.