Okay, found it myself - seems as I ran into https://github.com/influxdata/influxdb/issues/21967
Removed Type=forking
from /etc/systemd/system/multi-user.target.wants/influxdb.service
and finally my database is up again - just lost two hours of data.
(auth-enabled = false
in my setup)
Thought quality management of the releases is a bit better
Now I’m alerted for next time…