If one or more people mysteriously come back to life as a result of this, then we know we've caught a mafioso. If the original lynch was a mafioso, then they still weren't killing between their lynch and resurrection, so the town still comes out ahead.
First point: it does not obtain that an individual who at a later point alters the vote is Mafia. Not at all.

Second point: look back to the host's notice that orders should be sent nightly, because n the event of resurrection they will immediately be implemented.

And if the mafia tries to interfere with this somehow, they'll either show their hand or waste their time-travel, which is a net win for the town.
Why do you assume limited abilities? There are no one-shots here, as far as I'm aware.

Vote: Ishmael