"The objective of the game is to capture/kill the enemy's king. "
When you start out with such a ridiculous misunderstanding, everything else follows logically, I guess. The object of the game is to capture the enemy king through a sequence of legal moves. You can't win a game by deciding that your rook can jump like a knight, and you can't win a game by clumsily stalemating your opponent.
Oh Dear, and you talk about ridiculous misunderstanding? The irony is really strong here.
Diagram 2 is BS, why should we even discuss a position that have never ever happened and will never ever happen?
If a position like that happened in real life, the player with the black pieces should be killed immediately.
The point I'm making is that just because someone stalemated their opponent doesn't meant they should win. Both positions 1 and 2 prove that.