If it was actually a capacitor we would see the voltage increasing during the charging process but we don't see that.
This, obviously. This is where many armchair speculators have gone 180deg wrong:
* Voltage is constant over the charge cycle, it should be increasing if this is a battery
* Oh so this must be a capacitor

So, they have never charged a capacitor.
Sure, for a battery, charge voltage is not constant during charge. It increases.
But for a capacitor, it increases even more, namely, linearly with more charge (Ah) put in.
If it was a capacitor and you charged it from 0% SoC with the
final CV voltage, you would be doing that classical (and confusing to many) 50% efficiency experiment. Actually, for a capacitor, the efficiency can be estimated from the voltage difference between the expected straight curve and the actual voltage at the output of the power supply. And with high power like that, you can't afford much below 98% or so, or you would have a serious thermal problem.
So it's neither a battery nor a capacitor, it's just a scam.