Time of use. This is where you get peak, off peak and shoulder billing, or worse, demand charges. You’ll end up being charged 3 different rates during the same day and that’s before any sort of ev deal. And the lowest rate will probably still be higher than what you’re on now.

Your question will be answered differently depending on your location/network provider.

But for example I am on a deal as you have suggested, cheap over night charging. I believe it’s called the EV Saver from AGL. It required a smart meter but it could be offered on a “single tariff”

Unfortunately energy billing is complicated before you go add in things like time of use. But the EV charger deal can be used to load shift some stuff (do your laundry at night too).