But apparently “There's IMHO no real logic to a capacitor in an EV”
Right. As a primer, the largest Maxwell capacitor is 3V 3,400 Farad. That is 4.25 Wh. A Tesla 2170 is ~3.75V @ 6 Ah, or 22.5 Wh, five times the energy.
Maxwell 's cap is 138x60mm or a 1460 cell, so it is a little smaller, but not 5 times. 2170s also have significantly less droop that fully discharging a capacitor.
They can take/ source large currents, but not for very long. Where these could be handy is in power filtering/ short term backup. They can handle 225 Amps of ripple at 40 degrees C and have a rated 10 year lifespan at 100 Amps. With an oversized inverter, they could potentially get one through their home AC startup transient.
http://www.maxwell.com/images/documents/3V_3400F_datasheet.pdf