OP misses a couple important things when he's discussing notation: when a pawn gets promoted, you have to specify what it gets promoted to, and also if the move

OP misses a couple important things when he's discussing notation: when a pawn gets promoted, you have to specify what it gets promoted to, and also if the move results in stalemate you note that. Stalemates are much rarer than checkmates, and underpromotions are very rare also, so I imagine the stalemates analogous to the checkmates he considers must be rarer still, if they ever happen at all.