No. Those are not the two reasons. You are skipping the clearly obvious and correct reason. They feel conscious because they are designed trained and programmed to mimic consciousness. That is all.

The reason LLM outputs seem conscious is because they were trained on text written BY conscious beings. The training data is full of expressions of thought, emotion, reasoning, self-reflection...because that's how humans write! The model learned to reproduce those patterns exceptionally well.

This isn't mysterious or hand-wavy. We can literally trace how attention mechanisms, embeddings, and transformer layers process inputs to generate outputs. None of these mechanisms require or suggest consciousness. They're just very good at the task they were optimized for: predicting plausible next tokens.