Do you believe your gender is determined primarily by what you identify as? || Do you believe your race is determined primarily by what you identify as?
Yes/no seems right to me, if you mean something like sincere identification. Gender concepts rely more on internal traits a person can identify in themselves, whereas racial concepts rely more on external facts (e.g. history) that you can lack even with sincere identification.
The distinction between concepts that rely mostly on internally identifiable features vs. those that don’t? Another example might be the property of having a headache vs. the property of having malaria.
There was an episode of "60 days in" where a white guy wanted to join the black gang, since he had grown up in the hood and felt more comfortable with them. There was a lot of drama around it, but it's good evidence for race really being about culture.