A tangent, but: how long until “turn of the century” is assumed to mean the time around the year 2000?
Also, years less than 10 years ago which are still referenced a lot then require a switch to a different reading convention. This, I guess, wasn't a big deal from 1999 to 2000 because, "twenty-oh-oh" was too awkward and, hey, it's two-damn-thousand!
So I guess this applies to people born in the 80s (and before), so I assume this will be in the 2030s/40s.
It's too ingrained. And 2000 was a millenium shift. So I expect a new phrase to emerge.
1999 was when the party started, of course.