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Interesting. Personally my way of approaching the queen loss problem is to add an additional piece that can compete against a queen, but without being as powerful as queen. Say about 6.25 in value. However, your game here is a good approach to that queen loss problem without introducing new pieces or requiring larger boards. The rule does make check mate harder, and perhaps giving the king an extra move instead of some other 'move-distribution scheme' won't go down well with other players - but all the same, as a variant it stands ok. ;)
I'm not sure how much of a 'revenge' the Mounted King is. The King as Knight is more difficult to maneuver for players used to the regular move. On the other hand, the King is more difficult to checkmate when it is now a Knight, though Chess variantists generally consider the Knight to be slightly weaker than the Commoner which moves like a King. Also, players may not want their King to become a Mounted King if the regular move is more strategically viable for them. Despite the fact that new variants often do not fulfill their intentions, I think this King transformation is something to be considered for other games and as a fun rule variant on boring old Chess.
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