Earlier quoted context omitted.
It's not black and white: CCS supports 800V charging, NACS does not (yet). Higher voltage = lower current and lighter cables and less strain on the connectors. Superchargers wete also lagging on liquid-cooled cables, which will be included in v4.
If it's possible for NACS to support 800V charging then that is not really a very meaningful advantage of CCS, is it? I think Tesla themselves will eventually switch to 800v at some point. V3 Superchargers have liquid cooled cables, that's why they are thinner than V2 cables. V4 has even crazier liquid cooling, where the conductors are directly immersed in the coolant.
In the EU/UK they have the CCS2 plugs on them, and are compatible with any CCS2 capable car.
(source: me, I used one last week for a non tesla car)