I'm sure it isn't intended this way but..

If one of your characters are killed and it has dice in the pool. Isn't your opponent effectively removing its dice and thus triggering the plot?

Your dice is actually removed by a game effect, rather than your opponent, so the ability doesn’t proc.

There are other situations where FFG has ruled on other things that if a dice is removed by a game effect then an opponent doesn’t remove it. I can’t remember exactly where though.