Relevant similar question:
Why can't a piece (that isn't a pawn) capture en passant?
Question:
When the game of chess evolved differently in various regions, was there any case in which the addition of the pawn's double move was accompanied by a variation of the en passant capture rule that enabled any piece to capture the pawn in the square it "skipped" over rather than restricting that capture only to opposing pawns?
(Not to be confused with the similar but orthogonal question, Is there a variant in which any piece can be taken 'en passant'?)