The circumstantial evidence seems a bit stronger now:
openhabian@openhabian:~ $ systemctl list-timers --all
NEXT LEFT LAST PASSED UNIT ACTIVATES
Sun 2024-05-05 11:21:32 CEST 2h 13min left Sat 2024-05-04 18:25:38 CEST 14h ago apt-daily.timer apt-daily.service
Sun 2024-05-05 11:26:13 CEST 2h 17min left Sat 2024-05-04 04:29:38 CEST 1 day 4h ago man-db.timer man-db.service
Sun 2024-05-05 20:06:38 CEST 10h left Sat 2024-05-04 20:06:38 CEST 13h ago systemd-tmpfiles-clean.timer systemd-tmpfiles-clean.service
Mon 2024-05-06 00:00:00 CEST 14h left Sun 2024-05-05 00:00:38 CEST 9h ago dpkg-db-backup.timer dpkg-db-backup.service
Mon 2024-05-06 00:00:00 CEST 14h left Sun 2024-05-05 00:00:38 CEST 9h ago logrotate.timer logrotate.service
Mon 2024-05-06 00:30:39 CEST 15h left Mon 2024-04-29 01:39:26 CEST 6 days ago fstrim.timer fstrim.service
Mon 2024-05-06 01:03:41 CEST 15h left Sun 2024-05-05 00:56:51 CEST 8h ago zsync.timer zsync.service
Mon 2024-05-06 02:33:29 CEST 17h left Sun 2024-05-05 04:31:58 CEST 4h 36min ago firemotd.timer firemotd.service
Mon 2024-05-06 06:17:48 CEST 21h left Sun 2024-05-05 06:51:51 CEST 2h 16min ago apt-daily-upgrade.timer apt-daily-upgrade.service
Sun 2024-05-12 03:10:30 CEST 6 days left Sun 2024-05-05 03:10:28 CEST 5h 57min ago e2scrub_all.timer e2scrub_all.service
10 timers listed.
openhabian@openhabian:~ $ ll /var/log/openhab/
total 9.0M
drwxrwxr-x 1 openhab openhabian 4.0K May 5 05:47 ./
drwxr-xr-x 1 root root 4.0K May 5 00:56 ../
-rw-rw-r-- 1 openhab openhab 0 Apr 28 13:18 audit.log
-rw-r--r-- 1 openhab openhab 3.2M May 5 09:08 events.log
-rw-r--r-- 1 openhab openhab 651K May 2 11:26 events.log.1.gz
-rw-r--r-- 1 openhab openhab 1.2M May 3 04:03 events.log.2.gz
-rw-r--r-- 1 openhab openhab 1.3M May 3 20:01 events.log.3.gz
-rw-r--r-- 1 openhab openhab 409K May 4 13:46 events.log.4.gz
-rw-r--r-- 1 openhab openhab 264K May 4 16:01 events.log.5.gz
-rw-r--r-- 1 openhab openhab 13K May 4 16:02 events.log.6.gz
-rw-r--r-- 1 openhab openhab 999K May 5 05:47 events.log.7.gz
-rw-r--r-- 1 openhab openhab 845K May 5 00:56 openhab.log
-rw-rw-r-- 1 openhab openhab 11K Apr 28 21:40 openhab.log.1.gz
-rw-r--r-- 1 openhab openhab 147K Apr 29 19:34 openhab.log.2.gz
-rw-r--r-- 1 openhab openhab 106K May 4 16:02 openhab.log.3.gz
-rwxrwxr-x 1 openhab openhab 0 Mar 23 22:39 Readme.txt*