Did some more digging to find an example. Just skimmed through all files in /var/log to see if I can find one. Here's the first I found.
It's possible s6 isn't to blame, here's the (censored) content of /var/log/messages.log:
Feb 5 09:07:56 xxxxxxxxx root: ACPI group/action undefined: jack/videoout / VIDEOOUT
Feb 5 09:07:56 xxxxxxxxx NetworkManager[729]: <info> [xxxxxxxxxx.xxxx] agent-manager: agent[xxxxxxxxxxxxxxxx,:1.24/org.kde.plasma.networkmanagement/1000]: agent registered
Feb 5 09:07:57 xxxxxxxxx kernel: warning: `kded5' uses wireless extensions which will stop working for Wi-Fi 7 hardware; use nl80211
Feb 5 16:07:57 xxxxxxxxx rtkit-daemon[1803]: Successfully made thread 2041 of process 2041 owned by '1000' high priority at nice level -11.
Feb 5 16:07:57 xxxxxxxxx rtkit-daemon[1803]: Successfully made thread 2061 of process 2041 owned by '1000' RT at priority 20.
Feb 5 16:07:57 xxxxxxxxx rtkit-daemon[1803]: Successfully made thread 2065 of process 2039 owned by '1000' RT at priority 20.
Feb 5 16:07:57 xxxxxxxxx rtkit-daemon[1803]: Successfully made thread 2039 of process 2039 owned by '1000' high priority at nice level -11.
Feb 5 09:07:57 xxxxxxxxx dbus-daemon[584]: [system] Activating service name='org.kde.powerdevil.discretegpuhelper' requested by ':1.29' (uid=1000 pid=2008 comm="/usr/lib/org_kde_powerdevil") (using servicehelper)
Feb 5 09:07:57 xxxxxxxxx kernel: EXT4-fs (dm-3): mounted filesystem xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx r/w with ordered data mode. Quota mode: none.
Feb 5 09:07:57 xxxxxxxxx dbus-daemon[584]: [system] Activating service name='org.kde.kded.smart' requested by ':1.24' (uid=1000 pid=1938 comm="/usr/bin/kded5") (using servicehelper)
I also found the same (exact) logs in /var/log/everything.log
Here's some from /var/log/daemon.log:
Feb 4 15:44:50 xxxxxxxxx NetworkManager[739]: <info> [1707086690.5553] dhcp6 (wlan0): activation: beginning transaction (timeout in 45 seconds)
Feb 4 15:44:50 xxxxxxxxx NetworkManager[739]: <info> [1707086690.5554] dhcp6 (wlan0): state changed no lease
Feb 4 22:44:50 xxxxxxxxx rtkit-daemon[1832]: Supervising 1 threads of 1 processes of 1 users.
Feb 4 22:44:50 xxxxxxxxx rtkit-daemon[1832]: Supervising 1 threads of 1 processes of 1 users.
Feb 4 22:44:50 xxxxxxxxx rtkit-daemon[1832]: Supervising 1 threads of 1 processes of 1 users.
Feb 4 21:12:52 xxxxxxxxx NetworkManager[732]: <info> [1707106373.0019] manager: startup complete
Feb 4 21:12:52 xxxxxxxxx NetworkManager[732]: <info> [1707106373.0026] device (lo): state change: unmanaged -> unavailable (reason 'connection-assumed', sys-iface-state: 'external')