Does race work the same as gender here? I get that it's often still very arbitrary, but it's certainly less fluid (or rather, fluidity in this area is less acceptable). I can't love Mexican food, learn Spanish, and then decide that I identify as Hispanic. Inversely, if I found that I enjoyed wearing women's clothing and partaking in feminine activities then I could identify as a woman if it suited me.
In the sense that “‘race’ can be substituted for ‘gender’ without loss of accuracy in the description in GP”, not “the dynamics of the degree of social acceptance of divergence between ascribed race and racial identity are identical to those for gender.”