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.)
There are two kinds of bias, in relation to this question.

The first is deliberately answering a question in a way that serves the self-interest of the one who answers, but not necessarily the questioner's self-interest.

An example of this is that a salesperson, when asked some questions about the product he's trying to sell, would try to hide the disadvantages of the product and instead, highlight the advantages.

Indeed, there are people in the world, with identity view, who are not stream winners, who can act selflessly, and answer in an objective way without the above kind of bias. After all, an unenlightened person can selflessly act with altruism and compassion (karuna), to help another person.

The second type of bias is a deep-seated collection of biases, prejudices and stereotypes that lies deep within a person's mind. These are related to more than one of the ten fetters.

An example of this is that a person who identifies with a religion that's against homosexuality and abortion, might answer general questions about these topics in a way that is aligned to his bias, even if any kind of answer to these questions do not bring him any profit or loss.

This kind of bias is very deeply ingrained and it would be very hard for a person with identity view to avoid this kind of bias.