Models don't "tell you" anything, models generate outputs when given inputs. Deception implies intent, models do not have intent. This is more anthropomorphizing.
The provided links present arguments supporting the idea that LLMs, transformer models, reason in a manner similar to the brain. That's all great and interesting, but it's not an argument that LLMs "deceive" and that they know it when they are doing it. Deception requires motivation, LLMs do not have motivation.
Brains exist for one purpose, to survive. Brains are wired up to the body in order to both control it and to sense the environment, they use this to enact their biological programming. LLMs have ABSOLUTELY NONE of this, they may process tokens in a manner than the reasoning portion of the mind does, but the brain is vastly more than merely a reasoning portion.
For an LLM to be devious, it needs a goal that benefits from deception. Where would that come from? Who is being deceived and why? An LLM, to deceive, needs a target for the deception, yet the LLM has no perception of an environment that could provide such a target.