Does a calculator reason its way to 2 + 2 = 4? No, it merely transforms.
An LLM is simply a much more complex version of this; except that its complexity hides a lot of what is otherwise reducible to a transformation of semantic, conceptual, and inferential relations. There are lots of NLP models prior to the introduction of modern "AI" that would make these representations more clear.
However I don't believe any of the aforementioned philosophers would ever consider reason itself as a transformation, as Kant especially spent a lot of time differentiating apprehension from transition.