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I'm not 100% certain, but I was under the impression that the Hero would stay in battle until the battle completed and would then return to the opponent's territory instead of yours during battle resolution. I'm pretty sure we discussed this previously, but I don't recall the conclusion that was reached.
If you are playing a newer SoG, wouldnt it negate Remnant's return ability? Is that what you are referring to Guardian?
A take or give effect is permanent, unless a duration is specified. If a duration is specified, when the duration is reached the Permanent Controller List is updated.