Assuming 400km worth of charge needs maybe 60 kw/h of energy, to deliver that amount of energy in 10 minutes would require at least 360kw charger. Charging just a few cars simultaneously will require megawatts of power. I wonder what are the implications in terms of city infrastructure or investment costs to building charging stations for that.
The issue at the moment is that grids in a lot of places in the world can't keep up with the connection requests, and this is indeed mainly due to not being able to upgrade transmission capacity fast enough.
Reminds me of "the duck curve" where the worry was that gas plants couldn't ramp output fast enough. There were many exciting high tech solutions but one solution was just to ask the gas plants if they could ramp faster. Turns out they could, they'd just not needed to before.
Seems to be a recurring pattern: you can hyperventilate about how something is hard or impossible or you can ask some engineers if they can improve things. If you get really desperate you can pay people for coming up with solutions and create a market. Of course that all assumes you actually want to solve the problem.
edit: recent third example. Grid connection queues in England had zombie projects in them because you got fined if you left the queue. They had an amnesty and a bunch off them dropped out moving up dates for real projects.
The National Grid connection queue is still a huge bottleneck for renewable and battery developers. The amnesty helped but at the end of the day, the overhead lines, substations and transformers need to be upgraded.
At least in the UK there's quite some visibility into the queue and required and ongoing works. Here in Europe it's like a black box.
However, a household supply could supply substantially more with smarter software. Specifically, currently we rate power supplies with a decent safety margin for worst-case conditions.
However, your '100 amp' power supply can probably supply 200 amps on a freezing cold day (which helps keep cables cool). It can probably supply more than rated if your neighbours aren't using much (since your and your neighbours power connections may share cables).
If you or your neighbours have rooftop solar, thats power going the other direction, which cancels out some power use - allowing you to charge even faster.
If software could take these factors into account, we could get a lot more power to where it needs to be. Currently rules don't allow such things though.
To get a good comparison in a car we need a manufacturer to actually do the development work and release a car that can be tested in real world conditions. There are the temperature limitations the press release already mentions and also limits to avoid range loss from fast charging over the life of the car.