It's a bias in the sense that it accurately reflects a fact you dislike. It's not a bias in the statistical sense, namely something that causes the answer to be wrong systematically in a particular direction. See my other post here discussing the distinction.
The phrase "this person is a doctor" has a different meaning than "she is a doctor" - "she" and "he" refers to (I'm probably messing up the terminology here) contextually implicit person. "This person" does not.
It's also not wrong in the sense of generics: https://sites.ualberta.ca/~francisp/papers/GenericsIntro.pdf
The phrase "this person is a doctor" has a different meaning than "she is a doctor" - "she" and "he" refers to (I'm probably messing up the terminology here) contextually implicit person. "This person" does not.