For the first year I was seeing T I was living in a really yucky apartment with barely any furniture, and my greatest fear (and goal to get over the fear) at that time was to move to a nicer place. T helped talk me through the process of moving and when I finally did move it was to a much bigger, nicer place. I bought furniture and decorated and took pictures of my living room furniture to show T. My cat was sleeping on the new couch in one picture.
T seemed very interested to see the pictures, and I sometimes think about going around to each room now and taking pictures to show him. But I wouldn't ever do this for real.
One of my other great fears is having any type of visitor to my house. And I worry that when we start working on the fear in T, he might suggest visiting my house himself for a session.
I can't imagine him being in my space, so I don't think I would agree.