Technically gen Z starts before the year 2000. I was born at the very tail end of the millenial years (1995) and honestly can't relate at all to what you described! It's funny how we are only probably just a few years apart but growing up our worlds were completely different
A zillenial is someone who was born either at the very end of the range for millennials, or at the very beginning of the range of gen Z, and who generally feel they don't fit in with either! I consider myself a zillenial