Visited yesterday without charging.
The parking seems to be public, but the tariffs are not friendly for short parking. It starts at 2CHF/hour, but then 6CHF for "half day" (not sure how long that is), then 12CHF 1 day, 20CHF 2 says and 50CHF 7 days, though I hope nobody leaves their car on the charging spot for 7 days 😅 There are no gates, you can enter and exit anytime. There isn't much to do around if you are not visiting the various medical facilities.
The "forbidden" sign at the entrance is for the road on the left. The parking is one-way, you enter on the right and leave from the other road.