If you hire a junior programmer and they make a mistake, they aren't held liable either. Sure, you can fire them, but unless there's malice or gross negligence the liability buck stops at the company. The same can be said about the wealth of software currently involved in producing software and making decisions. The difficulty of suing Microsoft or the llvm project over compiler bugs hasn't stopped anyone from using their compilers.
I don't see how LLMs are meaningful different from a company assuming liability for employees they hire or software they run. Even if they were AGI it wouldn't meaningfully change anything. You make a decision whether the benefits outweigh the risks, and adjust that calculation as you get more data on both benefits and risks. Right now companies are hesitant because the risks are both large and uncertain, but as we get better at understanding and mitigating them LLMs will be used more.