"I state that objectivity is not needed to move in relationships. It is, radically speaking, even irrelevant, to want to establish objectivity within human relationships..."

Nothing could be less true, IME. A lot of things have almost killed me. Only one thing has ever made me want to die, that most dangerous of things, a relationship. The utter lack of objectivity produces behaviours that are obviously crazy. Those people are pretty easy to avoid. What's far more dangerous is people that claim to be objective and aren't. If I believe their claims and trust them to view their skills and work objectively, and instead they're arrogant and conceited, they can ignore dangers that put me at risk, cost me money, or do harm to people I am trying to do good for.

Objectivity is born of humility, and part of the foundation of wisdom. Bias is always a negative, and extreme bias is obviously irrational. Many scientific papers are not reproducible, and bias is a terrible problem that degrades the quality of research, clouds our understanding, and reduces the prosperity and felicity of humanity.

Pretty hard to overestimate it's cost, or of the benefits of objectivity.