I would argue that DNNs would not work as well if they weren't picking up biases. Sometimes we need to learn the biases in order to better detect them.
Even humans need to know about swear words in order to consciously avoid using them, or need to learn about reproduction in order to avoid teenage pregnancies. Not knowing does not make us or the AI better.
For example, what GPT-3 needs is a "conscience", a separate model monitoring and rejecting harmful outputs. If I am not mistaken the demo is already displaying warnings when it goes off into weird places.