This is interesting.
I'm not sure that blank slate has to mean lack of warmth and connection. People who have responded here have given a lot of examples of their Ts self-disclosing. I suppose this helps with the feeling of connection?
I know very little about my T, compared to many posters here. However, I would say she's warm and we have a good connection. The warmth comes from, I think, empathy and validation. The connection is a result of trusting that she knows me.