Absolutely - there aren't clearly defined lines between cultural notions of race, and the scientific community doesn't even recognize race as anything but a social construct [1]. So in the end it's either how someone self-identifies, or the arbitrary superficial judgement of race by the hiring team, which is patently ridiculous.
[1] https://en.wikipedia.org/wiki/Race_(human_categorization)
"Modern science regards race as a social construct, an identity which is assigned based on rules made by society."