Does the weight of the Faraday have an impact on the vehicle's fuel consumption?

Well, contrary to expectations, the answer is no ;-)

You’ll use less electricity by using Faraday with a city car that has improved aerodynamics, compared to using fast charging, which results in energy losses associated solely with the charging process (and which you pay for).

First of all, the Faraday weighs 500 kg, 300 kg of which is the battery.

This affects fuel consumption, but at high speeds, aerodynamics has the greatest impact on a car’s fuel consumption: ~80%, compared to 20% for weight.

By extending the profile of the car-and-Faraday combination, the use of the Faraday actually improves the vehicle’s aerodynamics (the “Cx”).

For city cars, fuel consumption on a long trip ultimately varies by 3% to 3% depending on the model.

The conclusion is therefore that the weight of the towed Faraday has no net effect on the vehicle's fuel consumption.

And the rest of the year (95% of the time!), compared to a large EV, the vehicle is lighter than if it were equipped with the large battery needed for long trips.

So saving electricity really does make a difference!