I can easily levee the same accusation of cherrypicking the numbers against the sources cited here, like this claim:

"even if it were charged 100% from coal, an EV would still be cleaner than the average ICE vehicle"

...where the "average ICE vehicle" is a car running on 30 mpg of gasoline. However, the point of the study isn't to compare average cars in the gasoline-hungry US. The point is to show which new cars would perform the best in terms of achieving the CO2 goals set by the EU for the car industry. This is important, because it has implications on future taxes and subsidies of car purchases. People focus on the "EV vs. Diesel" part, but the actual recommendation of the study is neither EV nor Diesel, but gas-powered vehicles.

Now indeed if we pick the slightly different numbers that this EV proponent would like us to pick, we may arrive here:

"The Fraunhofer Institute reported in March that EVs typically produce “28 percent less greenhouse gas emissions than a luxury-class diesel, up to 42 percent less than a small car petrol engine.”

The catch with these numbers? They only count for the smallest batteries (200km range). The study also has a graph that shows that at 500km, the advantage is down to 5% and at 650km, it flips in favor of the Diesel.

Has anything been debunked here? Not really, it just shows that different numbers mean different things.