Interesting video, but I disagree that it proves that the "brown thing is a myth". I was around back then and it was definitely a thing that was also being heavily criticized.
The thing is that with the methodology that guy employs, I guess it wouldn't really be visible. The "brown game" aesthetic, while definitely a trend, wasn't the only trend during that time. At the same time, you had the explosion of colorful Nintendo casual games on platforms like the Wii and DS. Many of those sold extremely well, so they'd be overrepresented when you only take the top 20 bestselling games of each year. Same with sports games, those never really change much, but they'll show up heavily on every top 20. But with games that wanted to seem more "mature" and especially genres like first-person shooters (like in the meme), the trend was very real.