No, you are proving my point here. You say 'they' as in the publishers/owners/printers of the newspaper. You don't blame 'it' the literal, physical piece of paper you are holding in your hands.
In the same way that you would not say a clock was lying to you if it displays the wrong time.
The point is, the LLM is not 'lying' to you. It's showing you information. It doesn't 'know' whether the information is true or not. It also doesn't 'care'. Because it is a statistical model and is incapable of those things. And if you scroll back to my initial point, I said "technically, it's not lying, because lying requires intent to deceive, and LLMs don't have intent"