No it really doesn't. Why would it.

Suspension of disbelief deals with what I am willing to believe or not believe within the context and realities of the TV show. Am I willing to believe that these people crashed from a plane and survived? Sure. Am I willing to believe that the Others manage to know crazy details about people? No.

Whether I trust the motives and whatnot of the Others doesn't have a lot to do with my suspension of disbelief.