I have noticed there is quite the difference between born 2000+ and 1993+, due to the older of these groups still remembering a time where not everyone had a computer in their pockets. By the time someone born in 2000 made it to school almost everyone had a phone/smartphone.

Yes this exactly, I know what a "generation" in the usual sense means. But what you posted, is why I count my son born in 2001 to be a different generation than those born in 1993+. Their attitudes and behaviour seem very different in that I see way less political correctness, amongst other things associated with the generation being talked about, in him and his peer group (of course this is anecdotal evidence and should be treated as such).

2001 is considered gen Z. Before them are millenials, the oldest of which were born around 1980. If OP was in their late 40s, they would Gen X. So clearly they were referring to millenials, and not Gen X.