> I say this because I think non-scientists regularly say that science is biased because scientists are biased.

As any other field, the science is as good as the scientist that produced it. For example, there is a serious reproducibility crisis in multiple fields, like psychology, and social sciences. In the latter it is hard to say of its due to systemic educational failure of the PhD students in those fields, or that the field and personal politics are merging too tightly.

Unfortunately, all it takes is one bad scientist to discredit the rest, e.g., Wakefield.