Well you know there is a self-centered bias, then there is a bias that arises in response to the self-centered bias which is the no-self-center bias that denies all possibility that the universe could be centered around human-like existence.

So take the possibility that we play an integral role in the appearance of the universe and therefor objective truth cannot be separated from subjective experience. There may even be a possibility that reality is not only different from how we perceive it but there is a specific way in which our perception varies from reality which can be inferred from studying the structure of perception itself.

Anyone who felt it necessary to deny that the universe could be so constituted would also ignore good arguments and evidence that it is the case. So either bias is potentially problematic. Whether one is biased to seeing the universe in a self-centered way or biased toward not seeing it in a self-centered way, the same potential of denying possibilities and accepting other possibilities a priori takes place.