I'd be very happy if this were about correcting facts: about forcing the takedown of inaccurate content from websites. Google would then update its index to reflect the improved accuracy.
Fix the problem, not hide it.
Thus you have to make the indexer stop indexing you.
If big publishers are doing this often on well known topics, it stands to reason that the much larger number of little publishers are also doing it with at least similar frequency for less well known topics.
Hence the ruling here.
Only in the sense that they index what other sites say, which might or might not be factual or honest.
It's impossible not to. Even merely putting one specific search result above another because it's "more relevant" is the very act of curation, because you are inherently defining "relevance."