Or much more sensible explanation: TNG retconned Eugenics War AKA WWIII into mid-21st century (which is also closer to '200 hundred years ago' stated in TOS and TWOK.)40 years ago, we thought the Eugenics Wars and World War III were the same conflict; "Space Seed" explicitly said as much. But TNG retconned WWIII to the mid-21st century, so it became a separate event from the 1990s' Eugenics Wars.
(Sorry for the derail.)
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