I like the way she puts it as "racial identity." It sums it up quite nicely.
Skin pigmentation is so varied - from black as tar to white as Canadian and every shade in between - that it only stands to reason that the race a person identifies with the most is the race they should be able to own.
I was 34 years old when I moved to Miami; and for the first time in my life I saw "black" people with tan lines. I was like OMG WTF!
That one experience totally changed my views on skin pigmentation. Then once I learn that very few of the darker skinned people there are African American, but instead Jamaican, Haitian, and other Caribbean natives, the idea of race faded completely and my racist Arkansas upbringing came to a halt.
All that said, identify as any race you want to identify as. Nobody who has any experience with different races will give a fuck.