I don't understand what you are saying.
How can the RLHF phase eliminate bias if it uses a process(human input) that has the same biases as the pre-training(human input)?
Texts in the wild used during pre-training contain lots of biases, such as racial and sexual biases, which are picked-up by the model.
During RLHF, the human evaluators are aware of such biases and are instructed to down-vote the model responses that incorporate such biases.
But human expectations are also not bias-free (e.g. from the preferring-the-first-choice phenomenon)