Can an answer, while sakayaditthi is present, be intentional free of bias?

Aside of the trap of self-overestimating, theoretical (abhidhamma in action): When one is asked a question and brings his person, his estimate, into play, is it possible to give an answer which is not biased, does not protect ones stand or ones disabilities at first place (i.e. minimum holding something back)? Is a person able to give a "objective" answer if the mind is caught by identification-views intentionally? Wouldn't such a person, in such a state not either give a non-biased answer certain unaware of certain "self-damaging" or be shameless? In cases of being aware and fearing "self-damaging" simply not answering? (May one not fear or be ashamed of skillful actions while trying to give an answer.)