Probably the larger concern (or at least as large) would be that the current electrical grid couldn't handle that kind of load if a significant number of people

Probably the larger concern (or at least as large) would be that the current electrical grid couldn't handle that kind of load if a significant number of people started driving these quick charge electric cars which require these large currents. Likely we'd need to slow down the charging anyway to accommodate the limitations of the power grid.