Thanks for your help. 
Since the xruns of my recent tests were not logged in jack I wanted to find out if xruns are never logged in jack. To provoke xruns in jack I reduced the buffer size from 128 to 64/32 and at the end 16 because above not many xruns ocurred.
These xruns are logged in jack (together with the configuration changes):
Wed Mar 23 20:16:51 2022: configuring for 48000Hz, period = 64 frames (1.3 ms), buffer = 2 periods
Wed Mar 23 20:16:51 2022: ALSA: final selected sample format for capture: 32bit integer little-endian
Wed Mar 23 20:16:51 2022: ALSA: use 2 periods for capture
Wed Mar 23 20:16:51 2022: ALSA: final selected sample format for playback: 32bit integer little-endian
Wed Mar 23 20:16:51 2022: ALSA: use 2 periods for playback
Wed Mar 23 20:17:16 2022: configuring for 48000Hz, period = 32 frames (0.7 ms), buffer = 2 periods
Wed Mar 23 20:17:16 2022: ALSA: final selected sample format for capture: 32bit integer little-endian
Wed Mar 23 20:17:16 2022: ALSA: use 2 periods for capture
Wed Mar 23 20:17:16 2022: ALSA: final selected sample format for playback: 32bit integer little-endian
Wed Mar 23 20:17:16 2022: ALSA: use 2 periods for playback
Wed Mar 23 20:18:05 2022: New client 'a2j' with PID 7597
Wed Mar 23 20:18:51 2022: configuring for 48000Hz, period = 16 frames (0.3 ms), buffer = 2 periods
Wed Mar 23 20:18:51 2022: ALSA: final selected sample format for capture: 32bit integer little-endian
Wed Mar 23 20:18:51 2022: ALSA: use 2 periods for capture
Wed Mar 23 20:18:51 2022: ALSA: final selected sample format for playback: 32bit integer little-endian
Wed Mar 23 20:18:51 2022: ALSA: use 2 periods for playback
Wed Mar 23 20:18:53 2022: ERROR: JackEngine::XRun: client ardour finished after current callback
Wed Mar 23 20:18:53 2022: ERROR: JackAudioDriver::ProcessGraphAsyncMaster: Process error
Wed Mar 23 20:18:53 2022: ERROR: JackEngine::XRun: client = ardour was not finished, state = Running
Wed Mar 23 20:18:53 2022: ERROR: JackAudioDriver::ProcessGraphAsyncMaster: Process error
Wed Mar 23 20:18:54 2022: ERROR: JackEngine::XRun: client = ardour was not finished, state = Running
Wed Mar 23 20:18:54 2022: ERROR: JackAudioDriver::ProcessGraphAsyncMaster: Process error
So generally if there are xruns in jack they are logged.
Additionally I tested the Ardour 6.9 demo over a long period, to see if it also has these sporadic xruns while recording as 6.5 has and if these are also not reported by jack.
I also kept the performance meters on during this test.
The results are
- xruns in Ardour kept coming (8 in about 8 hours)
- jack reported no xrun
- Claudia showed the same xrun count that Ardour shows
- One xrun marker has a different colour in Ardour than the other xrun markers and there is a message about a weird latency that very likely belongs to that xrun in the Ardour log.
- The Ardour log does not show anytging about xruns
Here is the Ardour log:
2022-03-23T20:26:49 [INFO]: harvid version: 803
2022-03-23T20:26:50 [INFO]: Loading menus from /opt/Ardour-6.9.0/etc/ardour.menus
2022-03-23T20:26:50 [INFO]: Loading user ui scripts file /home/tobiasb/.config/ardour6/ui_scripts
2022-03-23T20:26:50 [INFO]: Loading plugin order file /home/tobiasb/.config/ardour6/plugin_metadata/plugin_order
2022-03-23T20:26:51 [INFO]: Loading history from /home/tobiasb/DATA/Audio/Linux low latency/Ardour six hours plus test/Ardour six hours plus test.history
2022-03-23T20:26:51 [INFO]: Ardour six hours plus test: no history file "/home/tobiasb/DATA/Audio/Linux low latency/Ardour six hours plus test/Ardour six hours plus test.history" for this session.
2022-03-23T20:32:03 [WARNING]: Ambiguous latency for port 'insert 1/audio_send 1' (16, 288)
2022-03-23T20:35:56 [WARNING]: Ambiguous latency for port 'insert 1/audio_send 1' (16, 304)
2022-03-23T20:36:01 [WARNING]: Ambiguous latency for port 'insert 1/audio_send 1' (16, 304)
2022-03-23T20:36:05 [WARNING]: Ambiguous latency for port 'insert 1/audio_send 1' (16, 304)
2022-03-23T22:13:13 [WARNING]: Could not set CPU DMA latency to 0 usec (Permission denied)
2022-03-23T22:13:18 [WARNING]: Could not set CPU DMA latency to 1 usec (Permission denied)
Here us the performance meter data:

What can be read from it? EVrything ok, or are there problems?
This is interesting and caused by permission problems (tested without ‘99-cpu-dma-latency.rules’ file because I had no time) I was unable to experiment with it. I’ll test that soon.
By the way: which setting should I use? Lowest latency or a specific value?
A very interesting test would also be to provoke xruns in Ardour and see if other programs connected ro jack report xruns, because jack does not report them.
I don’t know which program is good fir it. Maybe Guitarix. Don’t know if it logs xruns somewhere.