They're not doing anything AT ALL different when they "tell the truth" or "lie" or "get it right" or "get it wrong."
They are remixing groups of word chunks based on scanning older groups of word chunks. That's ALL. Most any other description is going to be overreaching anthromorphization.
Normally lying means conveying a falsehood that you know is a falsehood with the intent to deceive. Both the 'know it's a falsehood' and the 'intent to deceive' are important criteria when asking whether a human was lying or not, and an LLM seems like it cant satisfy those and so can't 'lie'.
The original submission is claiming that user data is leaking between sessions. That would be a huge privacy and security problem.l, if true.
And in contrast to that, a LLM doing pretty much what it's supposed to be doing is both more likely and, well, not a problem at all.
Nothing in the submitted link suggests the former. It is a bunch of people crying wolf with no compelling evidence.