>>709582897 babby here. If the PS2 defined your childhood I don't think you can be a zoomer. Millennials had their adolescence defined by the PS2 meanwhile my early childhood was defined by the N64 and PS2 rather than my teens. My brother is a 2000s babby meanwhile and barely remembers them.
95-97 being it's own micro-generation makes a small amount of sense given the sheer state of flux the early aughts were in and how their experiences differ from the generations on either side of them. But that's blatant bias since I'm part of it.