As a kid, I was always off school then, and so were my parents (teachers in said school). We didn’t usually do anything during this time (although one year we went to Israel for a bris). I have a family member going to Israel during that time because that’s when they’re off work.
If the fact of the matter is that the parents are on vacation, and the kids are too (sometimes the school gives off then because there is a fair number of non-Jewish teachers) and it just works to do something then. I don’t think people are davka thinking in their heads that they’re doing something BECAUSE of those specific dates-that’s what works for them to spend time with their families, so they take advantage.