Assume you mean pole mounted transformers?You have a point here. The pole pigs would be overwhelmed if a whole street started charging at the same time in high current fashion.
Have very few of those here.
We, along with our street neighbours, get our juice from an 11kV to 400V transformer. It's about 1500kVA as I recall. Domestic supplies are phase to neutral at 230V. Nominally.
Other than electric cookers, outlets are rated at 13A. That equates to about 3kW and unity power factor. So the Nissan battery would need ten hours plus the system losses.
From what I have seen it appears to be a problem that has not been addressed.