My VW has the function to engage full free wheel on the over run, ie no engine braking.
I tried it and didn’t like it.
Will it save mpg?....
The answer is it depends on the situation, so potentially yes and no. However if you are freewheeling, then there is nothing for the engine to do, and if its not being driven by the momentum of the vehicle through the gearbox, so if the engine is running it must be using some fuel.... Where as if the engine is still being driven by the cars momentum, modern vehicles will actually cut the fuel completely.
With a free wheel, the car would roll further than if the engine is being turned by cars momentum due to the friction of the engine and if the cylinders are still being compressed which is what creates engine breaking.
Again some vehicles with modern ECU's and variable valve timing can hold the valves open to prevent compression. This also reduces engine breaking. but allows coasting.
The VAG PHEV (other makes might also provide similar features) system can also allow free wheeling when hybrid or electric modes. This can be disconcerting for the new driver, but you can also engage regenerative breaking which mimics engine breaking. But which is more efficient again depends on the prevailing circumstances.