I agree with your guru about links but not the other part.
Getting links from education resources is more beneficial for E-A-T rather than feeding RankBrain imo. They can simply be strong links, hence the rankings.
Backlinks, just like RankBrain are 2 of many signals search engine uses to sort their search results.
RankBrain is a machine learning AI that is part of the overall algorithm - Hummingbird. They claim RankBrain is the 3rd most important signal.
We don't really know what is #1 and #2 but there are strong indications #1 is backlinks and #2 in on-page or more specifically words on a page.
Backlinks - pages on web giving vote for your page
On-page - elements of the page search engines use to understand content and context
RankBrain - (my understanding) algorithm that helps identify true intent behind search query