You do raise a good point as Gen Z is around 1997-2012 (exact dates are always a little fuzzy)
So 97 would put you around 4-5 years old when the XBOX came out.
The video made it look like the XBOX was some ancient artifact to the Gen Z people. I guess if you were born in 2012 it is an ancient artifact?
Gen Z is a pretty wide group. I am Gen Z and played on an original xbox. However at the time the PS3 was already out, as it came out not much later.
And in my region, the PS2 was much more popular than the xbox.
My sister however, who is only a few years younger, is definitely part of the iPad generation.
Everybody played the Wii though, hell I still play the Wii.