First of all they're making the common mistake of not understanding the difference between power and energy. To charge a battery it requires a certain amount of energy (kWh or J). To deliver that certain amount of energy in a shorter period of time requires an electrical service of higher power (kW).
What these dim bulbs (sic) don't realize is that the capacity to deliver that higher power would require upgrades in the electrical system all the way back to the distribution substation.
Ditto with providing power to the charging stations. That said, battery chemistry is also a big factor. The charge rate isn’t constant. It is doubtful that any EV battery can accept the advertised charging rate listed on the hyper fast charging stations. Once the battery capacity hits around 50 to 60% the charging rate starts to slow. At 80%, it isn’t worth the time to charge the last 20%.