Indeed there is nothing to suggest that it shouldn't and in fact everything suggests that it should. There's a reason that Penrose goes to such lengths to try--erroneously--to prove that Godel's theorems are beyond the grasp of computers ... which is bizarre since they are theorems of arithmetic and as such can be mechanically derived. The default position is that consciousness, whatever it is, is a physical process of the brain, and the default position is that the processes of the human brain are subject to the Church-Turing thesis. People who say otherwise frankly have no idea what they are talking about. And when they proclaim that they are in "the camp that says that TMs cannot produce consciousness" then it's intellectually dishonest to an extreme to deny that they are acting on faith, and to later pretend that they have an open mind and that it's the people who actually have an education in this arena who have a faith-based position.