Pretty much.
NES-SNES = Silent Generation. People who most associate with this era most associate with the time where the 'world' of gaming was still finding its way somewhat, where things were a bit messy and there were many limitations.
N64-Gamecube = Boomers. These people grew up at the perfect time to experience the vast majority of gaming's true evolution to what it is today. They were able to experience massive tentpole releases like FF7, Super Mario 64, Ocarina of Time, and so on when they released. They are also, like real-life Boomers, incredibly overrepresented in gaming culture, with a lot of people simply expecting that the experiences they had are similar to the experiences everyone else had.
Wii-Wii U = Millennials. Ya'll grew up in an in-between era. One where the gaming industry wasn't as consolidated yet, where budgets were still 'low enough' to allow for big AA titles, and where online elements were still limited enough to not have taken over the industry. However, fewer 'industry-defining' titles were released during this time, and those that were are seen as more divisive than the N64-Gamecube generation's titles (e.g. Modern Warfare, The Last of Us)
Switch = Gen Z. People say that they have it easy, that they have the best new games and such, but they also have to put up with much more bullshit than before. With the industry moving forward to more monetisation, more 'service' titles, and so on, this is the generation whose gaming experience will be characterised significantly by the increasing capitalist nature of the industry.
I am genuinely serious about this lol. The Gaming community is incredibly generational and it's something that is rarely, if ever, talked about. Perhaps because it's a niche thing that doesn't really matter that much in the grand scheme of things, but I digress. Iuse the framework of real-life generational discourse cause it just makes it easier, and because, personally, what we're basically seeing in gaming is a truncated version of the course gaming has taken since the mid-80s.