Well, no. Since you're obviously not going to be convinced TNG made this change, how about another pre-SNW Trek series? Specifically Enterprise, in the episode Hatchery, Archer mentions his great-grandfather fought in the Eugenics Wars. 1990s would be too far back for a great-grandfather, but the 2050s (which is when FC established WWIII occurred) would be just the right time period for a great-grandfather. So Enterprise at least did seem to treat the Eugenics Wars and WWIII as the same, or at the very least, as happening at the same time.