That's not actually what happened, or what he claimed.
No, that is pretty much exactly what happened, unless you caught the one video where he made a relevant point rather than the dozen or so that I saw where he missed the point completely.
Part of the problem here, and it's also evident in the comment thread here, is that a lot of science-minded geeks don't understand the difference between the social sciences and the humanities.
You can understand an atom pretty much perfectly. You can understand a star at the level at which you can observe it, because you can treat it statistically. You can't really understand a war in the same way. There are so many aspect and so many levels that you can't really capture the whole thing at the level at which you can observe it.
The things that the humanities study are so inherently complex (because they deal with the human experience) that there is never going to be an exact theory which applies all the time. Instead, you come up with models (sometimes called "narratives") which try to capture generally what's going on at one level. If a historian is studying a war, they might focus on the general trends and forces in one theatre, and in doing so gloss over details which may contrast with that. Or they might focus on what happened in one town, and in doing so simplify some of the wider context.
That is what Anita Sarkeesian is doing with the video game landscape. In doing so, of course she is going to gloss over details, because there is no other way to understand the landscape as a whole. Chipping away at a few points doesn't invalidate the argument. Just because North America had a cold winter doesn't mean that the global trend is towards warming. Just because killing civilians is penalised in one particular game doesn't mean that there isn't a general theme of abused women being used as decoration in video games.
Does that actually describe him, or is that your own delusion?
It's an exaggeration for comic effect, but it's only a slight exaggeration. What actually describes him is that he is a poster child for the Dunning-Kruger effect. And yes, I've seen way too many Thunderf00t videos for my own good.
I don't know if you've ever been in an undergraduate-level critical thinking class, but the field is very, very different from what most people think. You know how you go into topology thinking it's going to be all Klein bottles and toruses, and what you actually find is weeks of open and closed sets and metric spaces? Well, critical thinking mostly isn't about logical fallacies. It's mostly about how to understand an argument. It's all about the Principle of Charity, diagramming arguments, and so on.