It sounds bizarre but I want to try it.
You won’t gain anything meaningful from an overdrive with electric motors, they don’t need to be kept in a small rpm band to not lose efficiency
Overdrive puts the engine in a lower RPM band which would save the battery I feel like. Plus a few cars have em.
Electric motors don’t like low rpm’s. You’ll end up using more battery as the torque requirement to move the taller gear set is higher.
So a small high RPM motor that doesn’t have a lot of torque and needs higher gear ratios to make up for it but uses less electricity in trade is out?
Seems silly to me.