I once visited Los Angeles for a Shabbos and everyone from all Shuls (all types of people) say “Gut Shabbos” to one another while walking to and from Shul or on a Shabbos afternoon walk.
It’s not limited to gender. I have to say it’s wonderful!
In New York when you say “Gut Shabbos” to people they look you up and down and wonder “Do I know who that is” and wonder why I said Gut Shabbos to them…(even to people of my own gender).