There's plenty of evidence that LLMs lie, cheat, and steal. Corporations are known for having all of the benefits of personhood with none of the responsibility. As more people are harmed through interactions with these non-human entities, insurers will start looking to those accountable and they will extract their pound of flesh.
Not saying insurance saves anything. Corporations go after each other all the time; nothing new there. What is new are the opportunities to extract provided by uncontrolled LLM fuckery and an unsuspecting c-suite that believes they're immune.
Edit: eg. https://youtu.be/L2ehWbxphKc?is=kX3LJ43hhGZRUmRv