@mitu I have no idea if it's some bizarre edge-case specific to my system, but that's what was broken on my machine and what fixed it - seriously, everything was allcaps CUE and BIN - both the CUE file and the BIN file and the reference to the BIN file embedded within the CUE. All in capitals. I confirmed before renaming that the BIN filename 100% matched the value stored within the FILE "..." BINARY reference in the CUE file.
And I had no music in any of those games.
Changing all the file-extensions to lowercase (including the FILE "..." BINARY reference within the cue file) fixed it.