There are a lot of dangerous stereotypes out there. "Asian students are always better at math." "Boys are always better at sports." And perhaps the most dangerous of all: "The current generation are all digital natives."
It is easy to see the danger in the first two stereotypes. They tend to influence the way teachers, parents, peers and society in general classify, justify and treat whichever group is represented by the stereotype. I'm not sure enough people give enough thought to the third, equally dangerous, stereotype.