Acting last leaves room for everyone to be heard. When a Leader walks in and says "I'm thinking we should do XYZ what do you think?" There isn't room to hear the unabridged opinions on a topic. Stiffles any brainstorming that could of happened. By waiting you get to hear everyone's opinion; which they then feel like they said their piece. Leaders should ask clarifying questions though to get where the person is coming from and understanding context and depth.

I would also argue a Leader shouldn't nod in agreement or shake their head no. Be stoic and just listen. I think there is a Buddhist teaching of do not agree or disagree, but seek to understand.