cf an airline chatbot agreeing to an inappropriate refund or giving wrong advice that leaves the airline deciding to apologise and pay their holiday-related expenses. Those are costs it makes more sense for the airline to eat than get their insurers to price up (unlike other aviation insurance which can be for eye-wateringly large sums) even if it happens several times a month (which if your chatbot is an LLM supposed to handle a wide variety of questions it probably does). Same goes for the human sales representatives who may work with higher-stakes relationships than chatbots but the consequence of their error is usually not much bigger than issue refund or lose client relationship

I guess chatbots/LLMs will end up as a special case for professional indemnity insurance in a lot of those regulated firms as lawyers/accountants start to use them in certain contexts.