LLM's capturing intent is a capabilities-level discussion, it is verifiable, and is clear just via a conversation with Claude or Chatgpt.

Whether they have emotions, an internal life or whatever is an unfalsifiable claim and has nothing to do with capabilities.

I'm not sure why you think the claim that they can capture intent implies they have emotions, it's simply a matter of semantic comprehension which is tied to pattern recognition, rhetorical inference, etc that are all naturally comprehensible to a language model.