In a paper and blog post from earlier this year (March 2026, I think) Anthropic said basically: "You're not interacting with an LLM, you're interacting with a fictional human character (the 'helpful agent') created by the LLM to interact with you (from out of the vast space of possible such characters in its training data)." The LLM is literally anthropomorphizing itself, because its training data includes lots dialog between humans collaborating on problem-solving, not so much dialog between a human and a statistical construct. So, yeah, anthropomorphize it as well, it'll likely work better that way.
I think the argument against anthropomorphizing is not really about how you interact (chat) with an llm but rather how you treat it in the context of its status in work/society. There are still important differences between humans and llm's. They don't have rights, they can't be sued, they don't have "memory", they have no capacity to learn outside of the training stage etc...