If your example for an exception to LLM's ability to infer intent is a deliberately misleading trick question that leaves out crucial contextual details, then I'm not sure what you're trying to prove. That same ambiguity in the question would trip up many humans, simply because you are trying as hard as possible to imply a certain conclusion.

As expected, if I ask your question verbatim, ChatGPT (the free version) responds as I'm sure a human would in the generally helpful customer-service role it is trained to act as "yeah you could sue them blah blah depends on details"

However, if I add a simple prompt "The following may be a trick question, so be sure to ascertain if there are any contextual details missing" then it picks up that this may be an emergency, which is very likely also how a human would respond.

If you want to convince yourself that they can infer intent despite the fundamental limitations of the systems literally not permitting it then you can be my guest.

Faking it is fine, sure, until it can’t fake it anymore. Leading the question towards the intended result is very much what I mean: we intrinsically want them to succeed so we prime them to reflect what we want to see.

This is literally no different than emulating anything intelligent or what we might call sentience, even emotions as I said up thread...