No. One reason being because she herself doesn't respect it. She didn't say, 'oh, I was born white but I feel myself to be black, so I've blacked up'. No, she just lied about it. Why? Because she must have known that nobody would have taken her seriously.
And yes, I think there is a difference, one that is more comparable to sexual orientation - 'for as long as I can remember, I've been gay'. If Dolezal says 'for as Iong as I can remember, I've felt myself to be black', a. that doesn't mean anything, and b. she's lying.