HPWC can go up to 32A per phase, so matches/exceeds the capability of all Model S (assuming you haven't dialed it down due to lack of capacity at the site). So nominally 22kW three phase, 7.3kW single phase, slightly higher/lower if the mains voltage is high/low at your location. 24.3kW at the UK maximum legal mains voltage.
Facelift cars are limited to 32A single phase(*), 24A three-phase, so nominally 7.3kW single phase, 16.6kW three-phase. Originally there was a power limit as well as the current limit (so if the voltage went up you didn't get more power), however recent reports say that's no longer the case.
(*) I have not heard anybody actually confirm experimentally what the behaviour is on high current single-phase supplies. Definitely on three-phase it limits at 24A (if you have a 62A-capable chargepoint like many rapids, it will draw 24A). So there's an outside possibility that if you built a >32A single phase chargepoint it would do something interesting. Pre-facelift cars definitely don't.