Whats My Opinion About Coachee?!

At the end of the coaching sessions, I usually get this question from the coachee: "What did you think about me, while going thru our session?"

My answer is: "I didn't think anything. All the while I was neutral. I didn't had any internal dialogues going on".That sounds a bit intriguing, weird, 'can't believe'...kinda answer. 
However, that is the way that happens to me and happens in a typical coaching conversation. The moment a coaching conversation starts, I and coachee start navigating thru the issue that the coachee has bought for the coaching. All my attention would be on the 'coachee' and the issue . I'll not be in any internal dialogue of my own. If in case I get into my own internal dialogue, I am out of coaching conversation and my attention is not on the coachee. 

In a coaching conversation, whatever coachee feels or thinks or experiences matters. It is not about what is right or wrong about the issue. If the dialogue is in that direction its getting judgmental. The conversation is about how coachee's thinking or feeling or experiencing is coming in his way of progress and success. What I feel or think doesn't matter and it doesn't arrive in a coaching conversation.