> many people are bundling up everything as sexism, but that is a superset of bias
I consider sexism to be a subset of bias, so this is an interesting take. I do not think your example shows something as unbiased, because I consider the statement "We only hire men" to be biased.
Looking it up, there are many usages of the word bias that support your definition, so I'll concede that point.
However, I think GP was using the term bias in the way I tend to think of it which is measurement bias; that is evaluating male and female candidates differently from each other, so I was pointing out a way in which the candidates that show up to interview can be biased in a way which is definitely the fault of the company.
I consider sexism to be a subset of bias, so this is an interesting take. I do not think your example shows something as unbiased, because I consider the statement "We only hire men" to be biased.