With games its been ubiquitous culture for a couple of decades now. It frankly staggers me that stereotype is something people actually still think is a thing.
Just for context this was about a decade ago. Games were definitely more popular than in that past, but I remember it was well before the time I first remember seeing League of Legends on ESPN and being like "ok nerds are unequivocally mainstream now." But yeah it was pretty silly even by the standards of then.
I'm on the cusp of 40 and even in my youth (in the UK) videogames were ubiquitous. LoL appearing on ESPN is basically that ubiquity catching up with people no longer watching ESPN.