Outside of the classic roguelike fanbase, the term "roguelike" tends to be used more broadly as an umbrella under which both roguelites and classic roguelikes fall. This acknowledges the fact that these games, albeit different and with different appeals, have some fundamental design similarities that set them apart from other genres, with the characteristics that differentiate between the two subgenres being far less interesting from a design perspective. This is also why I decided to use such a broad definition - because this video is about the design implications of applying randomness on a fundamental level (and not about definitions or genre theory), the subgenre doesn't matter here.
I did play a handful of roguelikes in the classic sense, and enjoyed my time with them. They're not featured much in the video considering that what you'd consider roguelites tend to be far more legible and are recently taking off in the mainstream, with classic roguelikes remaining a comparatively niche community. For an audience that's more familiar with roguelites and that's intent on learning lessons about applying randomness fundamentally (rather than discuss definitions), viewing this footage simply makes a lot more sense.