It would just be cluttered with speculation and random lynching on Day 1/2. Actually the only saving grace for it would be if a Taz or Shadow played, because they would just blurt out random shit and be the obvious choice for a quick and easy lynch for info.
Really, those type of games don't get juicy until the 3rd day.
If we do end up doing that, there should only be 1 mafia goon.