This quote sums it up perfectly, the worst part is not the bias it's the false articulation of a grounded decision.
"In this context, LLMs do not appear to act rationally. Instead, they generate articulate responses that may superficially seem logically sound but ultimately lack grounding in principled reasoning."
I know some smart people who are convinced by LLM outputs in the way they can be convinced by a knowledgeable colleague.
The model is usually good about showing its work but this should be thought of as an over-fitting problem especially if the prompt requested that a subjective decision be made.
People need to realize that the current LLM interfaces will always sound incredibly reasonable even if the policy prescription it selects was a coin toss.