Yes. A thermostat involves a change of state from A to B. A computer is the same: its state at t causes its state at t+1, which causes its state at t+2, and so on. Nothing else is going on. An LLM is no different: an LLM is simply a computer that is going through particular states.
Thought is not the same as a change of (brain) state. Thought is certainly associated with change of state, but can't be reduced to it. If thought could be reduced to change of state, then the validity/correctness/truth of a thought could be judged with reference to its associated brain state. Since this is impossible (you don't judge whether someone is right about a math problem or an empirical question by referring to the state of his neurology at a given point in time), it follows that an LLM can't think.
Thought is not the same as a change of (brain) state. Thought is certainly associated with change of state, but can't be reduced to it. If thought could be reduced to change of state, then the validity/correctness/truth of a thought could be judged with reference to its associated brain state. Since this is impossible (you don't judge whether someone is right about a math problem or an empirical question by referring to the state of his neurology at a given point in time), it follows that an LLM can't think.