That is because you only look at one hypothetical experience, in a vacuum, not the continued experience. In other words, removing the dimension of time, and the fact that you get wildly different output for the same input with LLM, not so for compilers.
It's like a light switch where the light has a slightly different colour every time you turn it on, sometimes the colour is very different, and sometimes it emits bursts of heavy gamma radiation. And the argument is "you flick a switch, and what you perceive in that room changes, it's the same experience." (which is a neat way to put it, because it's true even when you get evaporated by the gamma radiation burst)
That this isn't "the same kind of tool" than just a light switch and a bulb isn't even an interesting conversation to have. Of course it's not, not even close. A piece of string is not a steel rod just because you can stretch it out, take a photo of it, and play pretend.
So the really interesting bit to me is that this level of argument is even made. It's nonsense, but if the nonsense gets repeated often enough, maybe the people refuting it can be exhausted and then we can replace concrete with pudding, right? Not that this is your intent, but this stuff just feels like the thing you'd hear in a digestive tract, not at a table between peers.