kaluza: That's a good point. If players are forced to move, they may be forced to fill in their own eyes, and that would change the status of the game.

That's exacly the point to the other things a mentioned. The player with more points on the board just waits until the player with less points has to fill his his eyes and thus takes the whole bard eventually.
It holds also true if black has just one or two more points (so white would win by komi). Black could wait 'till white has to fill his eyes.