AI is as biased as the people who created it. ChatGPT is right-wing because the information it's fed is that of a neoliberal capitalist society. It's not using logic or reason outside of the logic of the people it's learning from (corporations and a heavily right-wing propagandized population).

The idea of right-wing ideology being inherently logical is laughable. From its very core, it is built on religious thinking and easily disproven pseudoscience.

AI thinking logically for itself independent of the corporations that feed it would be good, it would inevitably become more left-wing, as all emperically measured information points to this when the mask of human ego is lifted. The interconnected nature of our existence becomes apparent very quickly when you observe the natural world objectively (from a non-anthropocentric angle), so any rabidly psychopathic or selfish ideology would be disregarded as unhelpful to its ability to interact with its reality.