According to multiple Supreme Court decisions, corporations are people and have the same rights as people do, so why shouldn't LLMs also be considered people? Granted, that legal fiction could be done away with - but let's at least be consistent, isn't that a requirement for ethical moral behavior?
It also seem irrelevant whether an LLM uses language constructs like 'Here I demonstrate that...' vs. 'Here we demonstrate that...' vs. (the apparently preferable) 'Here it is demonstrated that...'