Not using time machine: Maybe a case of my still limited understanding of APFS, but I thought that when using CCC (or perhaps not even CCC, but no time machine, that APFS inherently creates local snapshots.) But could be that CCC isn't creating snapshots -- if CCC is necessary for snapshot creation -- because it can see that this is a rotational disk, not an SSD. In any case still a bit puzzled that running "tmutil listlocalsnapshots /" produces command not found, as well as the recovery partition center panel missing any functional items. Wonder if the Patcher version of the recovery partition is limited in this regard.
>>"CCC and Time Machine are both capable of creating snapshots on a given APFS volume."
https://bombich.com/kb/ccc5/leveraging-snapshots-on-apfs-volumes
Sorry mate, I know nothing about CCC, so you are on your own. All I know is that APFS recovery and APFS snapshots(Time Machine) are fully functional on my late 2008 MacBook and my mid-2010 MBP. You are better off asking that Bombich guy as I am sure your issue has nothing to do with the "Unsupported Macs".