That's actually untrue. Yes, training a neural network is mostly inductive reasoning process. However, the ability of LLMs to reason deductively (as a chain of thought, although it's probably not the only mechanism) is an emergent phenomenon, rising up from the training it on data and problems that exhibit deductive reasoning.
But of course, because the deductive reasoning is inductively taught, there might be various shortcuts which compromise the soundness of deductive reasoning. That's why my claim - LLMs are not as good at it as other algorithms, although they have many other strengths that make up for it.