negation - "I leaked nothing to nobody." - SAE? AAVE? Deliberate double negative?

"I leaked nothing to nobody" (around 3:42 in the video)

Is the sentence above from Susan Rice grammatically correct in standard American English (SAE)? Seems like it should be:

I leaked nothing to anybody/anyone.

If not SAE, is it maybe African American Vernacular English (AAVE)?

If not AAVE, would the double negative make it a positive? Maybe weasel wording or understatement (litotes)?