>>63968411
plenty of european sabres had a sharpened false edge, at least on the forward part of the blade.

it's sufficient for false edge cuts and the sharpening forms a spear point that penetrates better and more straight than a one sided edge.

>How curved(some middle eastern) the sword would be till it does not make sense?
once you get super curved swords like that you get a really tiny effective reach that's similar to a short sword or a large knife at best, so the straighter it is the more useful it is. doubly so since those curved swords are specialized for draw cuts and are very very lightly built so you don't have much mass in the blade for a cleaving cut, particularly when you can't make a draw cut with a false edge.

an off center point would make aiming and controlling the false edge cut more difficult, although those middle eastern swords have techniques where you gash opponent's hand with the point over the guard or shield using the curved sword sort of like a thrust, not that you'd need a false edge for that.