I went back tonight to check the price.
As I had suspected a little while after my last visit, the charger was in fact not out of service, that's how the plugs are shown on the EVTEC charger until you unlock them through the payment kiosk. And you have to enter your card first in the reader to start anything. You need to enter your PIN, choose a connector and only then does it show the price.
I checked CCS and AC cable, both showed 39ct/kWh price. Even though I cancelled the transaction before starting the charge, I still have 2 different 40CHF reservations on my credit card. The name on the transaction is "Strom-Ladestation Post"
The max power isn't listed anywhere (except opendata). The choice of connectors on the kiosk just has the name of the connectors.
There's a lamp post above the charger, so you have some light while you figure out how you're going to charge.
The Mercedes was plugged into the AC, showing 4 hours duration on the screen. There's still a stop button on the EVTEC screen, I'll need to try one time with my own car to see if you can stop a charge without authorization. It would be pretty annoying.