Okay, I can't go all the way, and describe it as grossly misleading, but "actively promote" uses too strong an adverb. So, I'll concede that, strictly speaking,

Okay, I can't go all the way, and describe it as grossly misleading, but "actively promote" uses too strong an adverb. So, I'll concede that, strictly speaking, the headline is misleading. On the other hand, if a reader gets the impression that Zuckerberg and the other social media CEOs, to the extent that they can get away with it, signal-boost holocaust denial (and propaganda from hate-groups, in general), recent history speaks for itself. So if someone asked me to rewrite the title, I would go with "passively promote."