As far as I can tell, the Orda Chess Lancer almost is the historical use of the Lancer, not counting the theoretical problem-solving use.
I did find the Lancer in a few other games (Lancers Chess, 8-Piece Chess, and Full Cavalry; there probably are others) where the Lancer jumps any distance in a predetermined straight line, then turns to determine the direction of its next move. I also see Lancers with various other abilities in Pawn Shoji (which can truly be called the "historical" version), TigerChess, Wild Jokers, The Starbound Sliders, et al., none of which seem satisfactory to me. So, it's either a double-range Knight with an added 2-3 space capture-only slide, or the version from Orda Chess.
As far as I can tell, the Orda Chess Lancer almost is the historical use of the Lancer, not counting the theoretical problem-solving use.
I did find the Lancer in a few other games (Lancers Chess, 8-Piece Chess, and Full Cavalry; there probably are others) where the Lancer jumps any distance in a predetermined straight line, then turns to determine the direction of its next move. I also see Lancers with various other abilities in Pawn Shoji (which can truly be called the "historical" version), TigerChess, Wild Jokers, The Starbound Sliders, et al., none of which seem satisfactory to me. So, it's either a double-range Knight with an added 2-3 space capture-only slide, or the version from Orda Chess.