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A.J. Winkelspecht's Divergent Chess from 1999 gives 'Rook moves without
capturing as an orthodox Rook & captures by moving as an orthodox
Bishop.' The 'Dragon-type' here is the 'Passed Pawns, Scorpions and Dragon' piece extended from five squares to six squares, called Phoenix.
8  P___ ___ ___ ___P___K___ ___ ___A___V   
7  V___A___ ___A___ ___A___ ___ ___ ___F   V,v = Divergent Chess Rook
6  F___ ___ ___ ___P___ ___P___ ___P___X   
5   ___P___ ___P___ ___P___ ___P___ ___P   X,x = Phoenix, six-    
4  p___ ___p___ ___p___ ___p___ ___p___         square multipath 
3  x___f___ ___ ___ ___p___ ___ ___ ___f         
2  p___v___a___ ___a___ ___a___ ___a___v   A,a = Alfil;  F,f = Ferz
1   ___p___ ___ ___k___p___ ___ ___ ___p   
   a   b   c   d   e   f   g   h   i   j   P,p = Berolina Pawn

White: Actually only King can move! 'V' and 'X' have no pathway at first.
       If King e1-f2, Divergent Rook-a7 takes, illegal.
       If King e1-d2, Divergent Rook-j8 has the path, illegal.
       If King e1-d1, Phoenix has pathway j6-i5-h4-g3-f2-e1-d1, illegal.
Black: If King f8-g7, Divergent Rook-b2 has the path, illegal.
       If King f8-e7, Divergent Rook-j2 has the path, illegal.
       If King f8-g8, Phoenix has pathway a3-b4-c5-d6-e7-f8-g8, illegal.