Charging times are a limitation of the grid and physics - not the battery.
I don't see fast charge being available for home, so I agree with your 24kVA limit there.
We are well past the days of your local service station, I expect all fast charge stations will have 347/600 volt service and 600 amp, or possibly 1200. Phase balance for charging is not really a difficult technical issue, so that leaves us with the grid issue of preventing brownouts, but planning will be a big help there. I could also see signaling technology being developed if this becomes a big market (e.g. I will draw x amps in y seconds), which may not even add those seconds to you charge time because we already have several seconds to connect. Finally of course, if super capacitor technology delivers then the charge station will be a perfect fit.