Correct. Mutual Hatred destroys the targeted cards before the current battle's resolution if they are opposing each other at any battlefield, not necessarily the current one.
Mutual Hatred reads: "Battle: Target your unbowed Samurai: Target an enemy Personality. Before this battle's resolution, destroy both targets if they are opposing each other."
If both targets are moved out of the Current Battlefield to another shared Battlefield (say by Luring Tactics, for example) they will still be destroyed before the resolution of this (the current) battle, correct?
- Marty Lund