Tying up some old threads noticed there wasn’t a link here for @mib1185’s mib1185/ha-add-on-syslog.
It is a pretty simple syslog forwarder add-on. There’s a bit of python that reads from journald and sends to syslog, so a very minimal footprint. Note that this is for system logs (the stuff from the kernel and its drivers, daemons like docker, etc.). So good for catching hardware/OS related stuff.
Original post in another thread: Export logs to a remote syslog - #17 by mib1185