Some NIMBYs I've met just don't want any change at all if there's any amount of immediate inconvenience they would face as a direct result regardless of how small. In these worst NIMBY cases there's often no particularly compelling arguments for why because it's all just flimsy justifications to avoiding dealing with any change. Logical argument about costs and benefits tend to go nowhere with these people. Sometimes framing things in terms of reducing future hassles and change can get things moving.