re: German auto club finds that EV charging wastes 13% of electricity used on average

This is one of those no shite Sherlock moments. Anyone that doesn't immediately realize there are going to be efficiency losses in the inversion of AC to DC for charging isn't really equipped for an efficiency discussion. The same thing with the heat coming off a charging battery, that is lost energy.

The key when making an argument about efficiency is approaching it from say a BTU to forward movement of a vehicle. Because ICE engines are so terribly inefficient (roughly 20% for a road-going car, slightly higher for engines with turbos) even when considering generation, transmission, charging, and electric motor efficiency EVs still are more efficient than turning a BTU into forward progress.

There are plenty of arguments about the shortcomings of EVs as well as ICE vehicles but one of the ones EVs completely win on is efficient use of the initial fuel.