Some additional pictures from when I visited back in December 2020.
The current pictures on the Share Birrer website https://www.share-birrer.ch/standorte show 2 different cars at this location, an IONIQ 5 and a Kona, but they are always at the leftmost spot and we see a single reserved sign, just like I had seen in 2020.
There's also a second Kona in the background of their pictures, and it might be the same one that's also parked on the rightmost space in my pictures. It also has Share Birrer stickers, but it doesn't seem like it has an assigned parking space here.
The live data history also seems to indicate only the leftmost spot is used for car sharing.
When I visited, I confirmed the order of the connectors, left to right:
AT*HTB*E1002611 (car sharing)
AT*HTB*E1002609
AT*HTB*E1002612
AT*HTB*E1002610
Connector AT*HTB*E1002612 seems to have been replaced by AT*HTB*E1000848 at some point, but I don't have any data between 2020-12 and 2023-06.
At last at the time of my visit in 2020, the "public station" sign behind the chargers indicated the parking fee was included in the charging price and you didn't have to pay separately for parking.