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Thanks to Mike, Peter, and Sam, I think my original question might be
leading to a couple of very good new variants (or more, since there might
be more demotion sequences that are interesting).  I'm glad I provided the
initial nudge, though I take none of the credit for whatever games get
developed here.  I might suggest that pawns remain pawns even when
pocketed, though, since otherwise there will be little reason to pocket
them; if so, we would need to restrict where they can be dropped otherwise
threats to drop pawns one step from promotion might be unbalancing.
Perhaps of the above three can whip up a ZRF for playtesting?  Perhaps
modifying the Tauschach ZRF will make the job easier by providing a
starting point?