I lived in Flatbush up until very recently (only a few months ago), and I have rarely ever not received a Good Shabbos, either first, or in return to my own. As WIY mentioned, we Flatbushers always think the Boro Parkers don’t say Good Shabbos.
By the way, in general, you don’t have to wait for people to say Good Shabbos to you. You can be the one to say Good Shabbos and most people will answer. (I’m not saying that “you” are not the one who initiates, just suggesting.)