It's certainly not an insurmountable problem, I just think we're in a local minimum that will prevent it from being a thing in, say, the next 5 years. I would agree with your other statement that China may well figure it out.
The current state of affairs in the US is that having a L2 charger at home and paying $E for 100kwh of electricity is massively less expensive than paying $E*5 for the car to go charge itself via some third party. This will not be a cheap service. The places where people tend to buy electric vehicles, generally coincide with high electricity prices and high labor costs. Maybe the high electricity costs can be somewhat offset by using off-peak power, but that's also off-peak generation due to solar panels, so who knows.
This also relies on the innovation of "cars that can drive themselves to the charger", which has been 18 months away in Teslas for what, a decade now? And Teslas are now a tiny proportion of the EVs sold in the US. Something less expensive and better price-per-range like the Ioniq 5/6 or the Equinox EV don't even have the hardware to take advantage of a system like this if you could snap your fingers and make these overnight charging facilities exist.
I don't think the economics work in the 2020s. Someday, sure.