I believe it benefits the town as a whole to avoid investigations--and certainly to keep any results private. If we remove one of the mafia groups, and the other knows who the enemy senators are, they will win much more quickly than if they don't.
At this stage in the game, the mafia are much more eager to know which faction people belong to. For a regular senator, the odds are that they will die, so the "eliminate all mafia" is the win condition they should be working towards. Of course later in the game this becomes more interesting...hmm if we eliminate one faction than investigation results can begin clearing peoples names. So they are useful, just don't share them with a central source, or with anyone other than your partner. That person could be mafia and you could be aiding in their victory.
Later in the game we might be able to use them on a case by case basis. Like if someone is going to be lynched and two people step forward to say that they belong to the faction whose mafia group has already been eliminated.
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