Not at all. That would be an example of white privilege - because it is imbued upon a person. They have some degree of privilege over another person by virtue of the structure of society. I could argue that it also intersects with a lot of other privileges - such as pretty privilege and economic privilege - and this complicates the picture somewhat. Willow Smith's kidnap would be reported more heavily than little Britney nobody from the trailer park.... so these things have to be seen in a more complicated way - but I have no issue with the idea of white privilege in these cases.
I think I'm okay with the idea of posthumous privilege - plenty of unpleasant people get statues etc - though it does create an interesting contradiction. Arguably, the people with the most white privilege in 1944 was Adolf Hitler, you probably might find the occasional statue or shrine to him, but he is universally (and quite rightly) remembered as being a bit of a wrong 'un.
And if Anne Frank has white privilege; then how do we account for writers like Miriam Chaszczewacki, Rywka Lipszyc, Rutka Laskier, Renia Spiegel, Eva Heyman and Věra Kohnová - all of whom wrote diaries around the same sort of time, all of whom are white teenage girls and all of whom died in the Holocaust, save Lipszyc who died in a ghetto I believe. What is it about Anne Frank's whiteness that propelled her work ever upwards and made her a martyr, but the vast majority of these other girls aren't remembered outside of their country of origin. Why was white priivlege not universally applied? Or is it unconnected to her whiteness and a product of something else?