With current electricity infrastructure, won't that completely saturate the grid and/or be problematic for people wanting to actually put the chargers somewhere

With current electricity infrastructure, won't that completely saturate the grid and/or be problematic for people wanting to actually put the chargers somewhere? We're talking megawatts here, and (at least over here) getting a grid connection of more than a couple of hundred kilowatts means serious talks with the grid operators. Because larger max loads mean larger potential impact on the grid when your load suddenly switches on, there is a progressive fee where a 0.1 MW versus a 1 MW rated connection is not simply 10x cheaper. Absent huge investments in the grid, I think the only thing you could do is put these on prem with power production, or put up a big battery near the charger that you fill up at a lower rate? Not an expert, but I wrote simulation code for "virtual power plants" so industrial sites with electricity producers, consumers and storage could simulate their loads to help spec the grid connections to their sites... this is what I vaguely remember from the business end of things.