A stronger version of that argument is that LLMs are not intrinsically affected by the passage of time.
Input stream comes in, input stream comes out. The LLM doesn't care whether this happens once a minute or once a year.
Input stream comes in, input stream comes out. The LLM doesn't care whether this happens once a minute or once a year.
Nothing prevents one from running an LLM whose harness has a clock and a while loop in it, and it would be weird if its mere lack were really so consequential to consciousness.
Your brain and your whole body exist in time. Even when you are asleep, your body does not flicker out of existence and your brain actually continues working during that time.