Back to basics. Using a @dosdue1 patched Catalina installer, which in my experience will both just about anything that falls into its range, from 2009 to this iMac, and probably more. Anyhow, it's proved that the thing lives, so now I'll use the Catalina install to thoroughly go over the machine and make sure it's OK, then head for more recent OS installs via OCLP. Should be quite good, as it will do Ventura natively.
If/when it breaks (IE Fusion Drive dies), then I will do the full surgery and upgrade drives and RAM and maybe processor too, if that's possible.