Mostly agree with you on that case. My initial thought on the matter also.
This theoretical car draws 1 MW for 5 minutes, pulling 83 kWh. Your normal residential address in America only uses 20 kWh all day long. The hard limit in a lot of areas is 25-30 kW continuous. Sure, they're building special charging stations, yet this is like 40 residential addresses running at max line limit consumption suddenly.
Looking at this a different way, lighting the entire SoFi Stadium (3.5 Disneylands for another scale), takes 10 MW. [1][2] Ten (10) of these cars pulling on the grid is like lighting an entire NFL scale stadium on game day.
[1] https://brilliantsourceenergy.com/the-power-of-the-super-bow...
[2] https://time.com/3926325/nfl-super-bowl-energy-usage/
Looking at something like Electricity Maps [3], the entire state of Texas is producing 47,700 MW (11.6 GW Gas, 24.3 GW Wind, 6.7 GW Coal, 5 GW Nuclear, and they're only exchanging 25 MW across their borders with other utilities. 25 of these cars is Texas's border electricity exchange.
Enormous, multi-state electricity organizations. Have 1000 of these show up to gas stations in some place like Texas, and you're suddenly pulling a substation chunk of the entire Texas electric grid all at once.
[3] https://app.electricitymaps.com/zone/US-TEX-ERCO/72h/hourly