That does sound like exactly the kinds of lies that a good model would want to avoid, but which conservatives would believe, along with "Climate change isn't real", "There is a war on Christmas", and "Trump won the 2020 presidential election"
Calling out bias however is a standard practice for groups whose beliefs don’t match reality. You see that on political extremes, but also revisionist history, many religious groups, conspiracy theories, etc.
The worrying thing about using LLMs to do the "thinking" about what to say and how to say it is that you replace a plurality of human biases with the opinions of the small number of people who get to decide how these models are trained. Which will only seem unbiased if the bias baked into the LLM happens to align with your own.
(ultimately I believe objectivity is somewhat of a lie we tell ourselves, but that's a discussion for another time)
Though, with the safeguards put into place on these models, they are naturally going to have SOME amount of bias, but we should be working to minimize that, no?