So polite behavior is no longer in style. I've little interest in current style and fads, I strive always to treat a woman like a lady whether she is or is not. I think sexism is the maltreatment of women by men and the maltreatment of men by women. Treating a person with courtesy is hardly maltreatment even if it is thought to be so by the PC crowd.
Ill-mannered people are boorish at best and inconsiderate at the worst. Women who do not graciously accept a proffered seat, or at least refuse without a thank-you, are boorish. A man unwilling to acknowledge a woman with a tip of the hat and a polite greeting are just as boorish in their behavior. I'm more likely to excuse a woman from acknowledging a tip of the hat with a smile or nod, as such an action is most likely very unexpected and, quite possibly, startling as they only meet with such action infrequently.
Sorry, but proper deference and good behavior has never gone out of style. It's just that boorish and ill-mannered behavior is the expected behavior of cretins and the world is overly populated such.
Tipping my hat is no different than asking a person if they mind if I smoke in their presence. Such was proper behavior years ago (many years before tobacco use became the generally disdained practice that it is today) and such is proper behavior today. I would ask an invited guest that question even in my own home. Others may see such behavior as quaint, but it is still as mannerly as is tipping the hat or not demeaning others for their style of dress.
I may be old, I may be a curmudgeon, but consideration of the comfort of others is still correct behavior.
I see other responses as I typed this. Hats for men, I believe, went out of style when Kennedy disdained to wear one at his inauguration. He changed the day's style for many men as much as his wife did for women.
Also, my hat protects me, and the pipe, from rain and snow as well as me from sun damage. The old wide brimmed hat has many uses as I pointed out earlier. It's a useful tool to many, as well as a personal style statement to others.