No, never have used any of these auth methods on this site.
I tried this on another test copy of the site running this time on 5.1.1 - I installed a new plugin that I've not installed into that Moodle before - Questionnaire. This installed properly, prompted for the settings for the questionnaire, then refreshed after update and prompted for these three plugins again, and would get stuck until I went to another url, then back t admin.
Not sure why they all say (Speciality) - something to do with display_auth_lock_options() in authlib.php.
php check.php -v yields:
root@067319226be1:/var/www/html/admin/cli# php checks.php -v
Cannot load Xdebug - it was already loaded
CRITICAL: Tasks max fail delay (tool_task_maxfaildelay)
Status | Check
----------+--------------------------------------------------------------------
OK | Environment (core_environment)
| Your server environment meets all minimum requirements.
| http://localhost:8081/admin/environment.php
|
OK | Upgrade (core_upgradecheck)
| No upgrade needed for the installed version 5.1.1 (Build:
| 20251208) (2025100601). Thanks for coming anyway!
| http://localhost:8081/admin/index.php?cache=1
|
NA | Antivirus (core_antivirus)
| No antivirus scanners are currently enabled
| http://localhost:8081/admin/settings.php?section=manageantiviruses
|
OK |
Cron running (tool_task_cronrunning)
| Cron is running frequently
| http://localhost:8081/admin/tool/task/runningtasks.php
|
ERROR | Tasks max fail delay (tool_task_maxfaildelay)
| 2 task(s) failing
| http://localhost:8081/admin/tasklogs.php
|
ERROR | Ad hoc task queue (tool_task_adhocqueue)
| Oldest unprocessed task is 203 days 20 hours, which is more
| than 4 hours
| http://localhost:8081/admin/tool/task/adhoctasks.php
|
OK | Long running tasks (tool_task_longrunningtasks)
| Long running tasks: 0
| http://localhost:8081/admin/tool/task/runningtasks.php
|
Those adhoc tasks are old failed backups, which I've subsequently deleted. Don't know why a half-year-old failed backup would trigger an upgradesettings.php loop for plugins that have never been touched.