Obviously nearly every electrical circuit board uses capacitors in some respect, especially for filtering and smoothing, but it is extremely rare for them to be used for bulk energy storage outside of things like adjusting power factor.
Given we are talking about charging times, which are primarily limited by the batteries charge current vs degradation curve and not at all by the various small capacitors in the charger’s electronics, there is fundamentally no effect on charge times unless you are replacing the energy storage medium itself with supercapacitors.
We can already supply enough dc power to charge an EV battery at its maximum designed curve via dc fast charging stations, which involve some contractors and shunts but actually don’t even involve any size of capacitors at all in the car itself on the HV side.