They are indeed taught to take rejection respectfully. After all, having a hissy fit every time you get rejected would ruin your frame of mind for approaching the next woman.
I think it goes without saying that the goal is to approach adult women, not kids or teens.
But a pickup artist will approach a woman based on her appearance. The goal of a pickup artist is to pick up sexy, beautiful women, make no mistake about it. But then, what’s wrong with that?
As for your point about men taking responsibility for other men, this is impossible. How could any one individual man control the actions of other men who are total strangers to him? The only people you can influence those in your own circle; 10-15 men at most?
Also, do we ask women to take responsibility for the bad actions of other women?