A set-up that discourages activity? I can see that, although I actually think there is motivation for a type of activity given that the game practically ends once the assassin makes an attempt on someone's life, but the problem is is that trying to explain it aloud kinda undermines the idea.
Randomly lynching the players one-by-one is ehhh. I mean it's difficult to initiate anything right now certainly without being random, but if we keep it up we are actually most likely to whittle down the suspects for the assassin because the odds are in their favor.
So I'm actually trying to think about anyone who wants limited information because if, between guards and the assassin, which one would be less interested in giving away their position is obviously the latter because it should be harder to detect what a guard knows specifically as opposed to detecting the assassin that is the only one ignorant and doesn't want the others to realize they don't know as much as the rest.