I don't think this is correct. Heidi's work made a different observation: That you can smear quorum intersection across phases of paxos, whereas the blog post in this submission is observing that you can do bog-standard quorum intersection in a way other than just thinking about majority intersection, via algebraic/geometric structures. I believe these are generally orthogonal observations.

(Heidi's work is both deeper and more practical; this post is just a really cute observation that there's something mathematically deeper underlying the idea of intersecting quora.)