Ugh, this is exactly the type of Star Wars nerd I despise. Not you, Quanon, the writer of that article you linked. The pretentious context of the article is nothing short of annoying.
That said, some comments:
Firstly, don't do his Machete cut. Instead of Episode II and III, watch A Phantom Edit. Since he's so concerned with relevancy, why not take it to the next level and cut out irrelevant plot lines from 2 and 3, and include relevant content from Episode I?
Secondly, beware of Harmy's Despecialized Editions.
Many cite the selling point of Harmy's cuts are that they are "original theatrical cuts" of the movies. This is a blatant lie. While they do remove many of the Special Edition CGI and restore many scenes to their original state, they are NOT the "original theatrical cuts". I've watched the VHS version enough times, and there are several aspects that Harmy does not restore.
Lastly, just watch Star Wars in whatever order you want, probably something closer to chronological release.