I don't get self-conscious during a 1:1 conversation with a T - I look at the other person just as much and focus on the verbal exchange. But I really don't like when it is one sided, for example when I tried to lie down on the couch once and could not see the T but knew that he was looking at me - that felt very unnatural and hierarchical and, instead helping me think/talk more freely, it did the opposite.