I would continue to see him while you look for someone else.
Trust your gut instinct, there is something that is not sitting right for you with this guy. I mean yeah he is reliable and consistent but is that enough for you?
Most of the work is done by the client in between sessions but a therapist is responsible for doing some if not most of the work too, he is there to guide you but if he can't see what you need, he can't guide you
This guy reminds me of my ex t, who used to say I was not doing the work, she felt like she was talking too much etc.... Turned out to be a disaster but that is my stuff and maybe this t will be different but I would look for another.