It is the wrong category error.

The proper category error in the context of the discussion would be to say the photocopier is drawing a picture.

It doesn't matter how well or not the photocopier recreates an image. To say the photocopier is drawing a picture is just nonsense and has no meaning.

The same category error as to say the LLM is "thinking".

Of course, the category error could be well exploited for marketing purposes if you are in the business of selling photocopiers or language models.