The Story mode of the original game is somewhat oddly designed.
First, you either defeat four opponents, or lure your starting opponent across a huge map to an escape hole. You can either break their leg so they can't follow you, or fight them in the cave when they chase you in.
Either way, you will then fight the fifth through nine opponents in confined stages for the ending. All while not violating the rules of honor.
However, if you didn't fight the second through fourth opponents and never got hit by anything. You can fight the secret tenth enemy.
This video showcases Mikado's story mode cutscenes. First, the scenes for killing her friends in a few different locations (there's around thirty locations these can play at), then the unavoidable fights. Followed by the scenes of her friends killing her in their stories. Then we repeat both set of friend clips again in different locations while everyone is covered in mud. The unavoidable fighters cannot be covered in mud.
Hanzaki (the ninth guy) only has his defeat scene play if you're going to fight the secret boss. Canonically, he's also the only one who died. (Maybe Kindachi, one of the secret bosses, does, but personally I think he's a ghost.)