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I don't think people are understanding personal bias. Personal bias doesn't necessarily mean favoring a GMPC over the players, although that is a form of it. Every decision is colored by your own take on things and that is what personal bias is. Good personal bias might be favoring the PCs over any monsters or NPCs, saying yes instead of no by default when a player suggests something, or even favoring heroically themed adventures over villainous ones. Everyone has some form of personal bias by being human.
noun1. a particular tendency, trend, inclination, feeling, or opinion, especially one that is preconceived or unreasoned: illegal bias against older job applicants; the magazine’s bias toward art rather than photography; our strong bias in favor of the idea.
noun1. an act or instance of judging.
2. the ability to judge, make a decision, or form an opinion objectively, authoritatively, and wisely, especially in matters affecting action; good sense; discretion:
a man of sound judgment.
3. the demonstration or exercise of such ability or capacity:
The major was decorated for the judgment he showed under fire.
4. the forming of an opinion, estimate, notion, or conclusion, as from circumstances presented to the mind: Our judgment as to the cause of his failure must rest on the evidence.
What you describe as good personal bias I see as a very bad thing as well. As a GM, I will not favor my PCs over monsters and NPCs, say yes instead of no by default, etc. In fact, I will not do the opposite of those things either. I will, however, judge each situation as fairly as possible. This is not bias, it's doing your job.
By accepting the risk of bias one can overcome it. There are many very negative things that are innate aspects of our humanity, including but not limited to destructive instincts and behaviors that we can rise above. Even the mere fact that some people here note that even if they think that GMPCs could work but that they themselves do not feel they can pull it off shows a great deal of higher thought process from these people as they can evaluate their situation and make a well thought judgment on it, recognizing their own strengths and playing better to those.
But I apologize, I just do not agree with your proposed bias.