Exactly, yet National Grid neglected to mention that! The 'bait and switch' of smart meters was always about controlling our usage through financial penalty, EVs will simply play a rather large part of that load shifting.Time of use tariffs and smart chargers should pretty much kill that problem.
The energy saving scheme sessions have shown that people will sit in the dark with their fridge switched off for the sake of saving 30p so the model has been proven out. The difference being that the "savings" will be gone and replaced with an additional peak time levy.
I did see that Gridserve at Braintree used battery storage but I don't think they applied the same methodology to their Norwich forecourt and it is clear that since these showcase "electric forecourts" their business model has gone far more in line with other EV charging providers.