Perhaps, but in the context of this thread, what's important is that the space of possible completions is encompassing every writing style imaginable and then some, and the starting state/input can be used to direct the model to arbitrary points in that space. Simple example template:

  Please write <specifics of the text you want LLM to write>, <style instruction>.

Where <style instruction> = "as if you were a pirate", or "be extremely succinct", or "in the style of drunk Shakespeare", or "in Iambic pentameter", or "in style mimicking the text I'm pasting below", etc.

There's no way those "AI detectors" could determine whether the text was written by AI from text itself, as it's trivial to make LLM output have any style imaginable.