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"In Wuss I through Wuss V, there are two ways to win: Either capture the king or capture the Wuss." Do you mean "In Wuss I through Wuss IV..."?
In Wuss V, can a Wuss move into an attacked square? It only says it cannot capture and must move when attacked; it doesn't say it cannot mvoe into attack.
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I can propose the variant Wuss IX: In place of Queen, is the "Wuss", which move as a Queen. On your turn if you have a Wuss which is attacked, then you must move the Wuss if able, to a non-attacked square, without capturing. The Wuss can capture if it is not beginning its turn attacked, and can move to attacked squares too if not beginning its turn attacked. If there is no move for the Wuss while attacked, it cannot move but you can move any other pieces. If Wuss is captured, nothing special happens; the game continues. Pawn promotes to: Wuss, Rook, Knight, Bishop.
What is Wuss VII? Perhaps I can propose Wuss VII: Wuss replaces King and moves only one space. If Wuss is captured, then it causes player with no Wuss stalemated to be loss.
Furthermore, I can propose Wuss X and Wuss XII, which follow rules of Wuss IX, except that in Wuss X the Wuss starts on Q3 and in Wuss XII the Wuss can make knight-moves too. In both games, pawn can promote to: Wuss, Queen, Rook, Knight, Bishop.
And then in Wuss XI, it is FIDE except that if you are in check, you are required to make a non-capturing King move out of check, if able; and the King cannot capture if you are in check.