After this discussion, I asked my utility company, and it would cost around $20k to install a 22kW charging station in my home. And what the person told me over the phone was basically "the grid is not ready, we would need to upgrade hundred of meters of cable".
This is in Europe (Switzerland), but it shows how impractical super fast charging is with the current state of the grid and infrastructure (we can't start a turbine when you plug your car). I don't know if trying to make it work is possible. The current grid was built over decades. To me it seems way easier to use other form of energy transfer (hydrogen refill or battery swap).
Edit:
I'm at the limit of the current I can draw from the utility line (40A for my house) as I have a geothermal pump that can use up to 25A when running. Even if I put a smaller charging station, the utility will have to change my introduction box, and in all cases it is quite expensive. I asked for 22kW because we live in a remote location, and while not strictly necessary, it might become so in the future, for example if we have visitors with 3 cars, they might need recharge.