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)

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.