That would obviously help. However, I think that the over-riding issue is the total amount of energy we're talking about - no matter how it its use is spread/shared over time and space.Perhaps somebody will invent a way of load-sharing that can deal with short-term high loads by temporarily reducing or interrupting longer-lasting ones. like a battery charger, or a storage heater, or immersion, for example. maybe it could be done by an electricity meter with added smartness.
I am often reminded that there were very serious concerns being expressed about the adequacy of UK electricity generation and distribution, in the medium-term (and long-term), long before the prospect of large-scale appearance of EVs appeared as part of the equation.
Kind Regards, John