Nono, it's if you use the same game name. It will happen regardless of map, it will just be the same province #'s that had combats in the last turn of the previous game. Nothing to worry about.
My favorite SP victory condition is Dominion, though the way the score is calculated is a bit wonky. But if you divide total provinces by 2, and then multiply by 10, you end up having to be pretty dominant in the game to reach that point - but it ends before growing too overly tedious. Of course, that can be tweaked up and down to suit your own threshold.