IDK if I would penalize certain weapons or playstyles. The "broken" dual wielding only happens late in the game when the player can also have artificial limbs and God tier stats. It's also balanced out by the brutal difficulty of some of the end game enemies.
Thus in early game, dexterity requirements could put players off some builds, while in late game, they wouldn't matter for players that build for high stats.
Handedness could be a nice hidden statistic, like talents.

But if we have right handedness, we should definitely have left handedness!