The problem IMO is not Bein Hazamin, but other “free time” .
In the goyish velt Saturday and Sundays are days off and people can spend family time together and dont need as much “Bein Hazamin”, In some Modern frum communities Sunday is that day that can fill the void
So a week vacation along with Weekends can fill the 4 week Bein Hazamin
Shabbos doesnt count because many of the boys arent home for Shabbos and when you have the whole family couped up in the house, it doesnt always make good company and people get cabin fever