Both sides in this to me need to get a life.
Just the fact that there's a x% risk it doesn't answer complicates any use case unnecessarily.
I'd prefer if the bots weren't antrophomized at all, no more "I'm your chatbot assistant". That's also just a marketing gimmick. It's much easier to assume something is intelligent if it has a personality.
Imagine if the models weren't even framed as AI at all. What if they were framed as 'flexi-search' a modern search engine that predicts content it hasn't yet indexed.