An LLM is designed to replicate human language, which is designed to express human emotional states, so your thesis that LLMs don't mimic human emotional states and are thus too alien for us to recognize consciousness within them seems specious, when they do so well enough for people to literally fall in love with them.

But there is no reason to assume than an LLM is conscious when it vocalizes how it "feels" that doesn't also apply to the text in a book, or to characters in a video game, or even to a Markov chain. The counterargument is that you recognize AI as conscious only because it mimics human emotional states so well and because, being human yourself (presumably) you're personally comfortable with that as a heuristic.