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I don't mean to be rude but I feel you're operating on a bit of TV based version of therapy.
You're right that there is such a thing as a conflict of interest in psychology that prevents psychologists from working with certain clients. However, it isn't like in TV where this is to somehow shroud them from the context of your life. 
Generally speaking, friends don't fall into that description for several reasons. They simply do not have the kind of impact on your formative experiences, traumas, etc, for them to be the focus of therapy or for their relationships to be that relevant. A psychologist is unlikely to even know that various patients who aren't couples or families know each other at all. 
With couples and even family, the reality is that the job of a psychologist is not to comfort you or validate your perceptions. In fact, psychologists may ask you to have friends or family fill out questions on you, such as in assessing ADHD or various other issues that your self perceptions may not be completely accurate on, it is an assessment tool. 
In psychology, external context on your behavior is not a bad thing. Sometimes, what you need is literally to know that you are in fact in the wrong, or if you're not that in fact it's time to call it quits with the relationship. So you're right that it is impossible to remain unbiased as a psychologist, you are wrong in that has not been the objective. Psychologists don't form personal relationships with clients because liking the person in fact can shield them from negative perceptions, and because the person can begin to put their relationship into the perspective of the therapist.
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