For what it’s worth, Time Machine doesn’t seem to care as much which file system it goes to anymore, as long as it goes over SMB.
There are specific config settings to make it work , but nearly all servers , including synology, will have a button that does whatever the magic combo is.
I sometimes pipe journalctl into lnav, but it never works quite as well as i really want...
lnav is pretty cool and does mostly what you are describing.
uuhhh maybe here? https://lnav.org/