The big problem in my opinion, is that the Holocaust is taught in a wrong manner, anyway. The Nazis are treated as an Other, as evil incarnate. They were normal human beings, from an educated and normal European country. Yet they commited the Holocaust, an unbelievable evil. It should focus more on our inate ability to do evil, how the jackboot could potentially march everywhere, given the right circumstances. It profits no one to just castigate the Nazis and not address that within each of us, a potential Nazi may lurk.
Remembering the numbers of dead, the dates, or the names of Concentration camps, is not that important. It would be better if people did, but as long as they learn the lesson of the event, then such circumstantial details are fairly immaterial. That lesson, I think, is often neglected, as Fascism is cast as some bogeyman or monster, instead of our shadow. It is quite clear in politics today, in which Nazi is used as a catch-all term of opprobrium, while people themselves act in totalitarian ways while doing so.