UPADTE
Well, it came off, eventually....
Had to apply some heat in the end.
Warmed the muff up, put the wood back in and gave it a few good knocks. "Ah", I think, "That it's starting to move", but no, it was the liner moving out of the muff by about an 1/8". Arrgh. What did I say about SNAFU, above?!
Left it to cool a bit, then hammered some bits of 1/4" ply in to the resulting gap between the muff and the head, and finally they came apart.