@Demon:
Ah, the old "Machete" viewing order.
To expand on it for Franky Tank, the general idea behind this order is that, nobody's first experience watching Star Wars should be through the prequels for a few reasons not just about the quality, but like, Emire has a few twists in it that the prequels kinda ruin. Both Yoda's introduction as well as the Vader revelation at the end being BIG ones.
If you see the prequels first, you already know exactly who Yoda and Vader are so the twists in Empire are less fun and shocking respectively.
Machete order fixes this supposedly, with 2 and 3 being a "Flashback" You're seeing after the revelation in 5. 1…. you can skip entirely and not miss anything... I think that's why Kaiolino has it in (Parenthases) like that lol.
I actually did watch the films this year using that method. It was my first time watching the films and saw it with people who have watched them before. I skipped 1 initially. I knew all the twists beforehand so it didn't matter too much t me, but I think it's a valid order to watch.
There was one more reason why the Matchete Order is used that wasn't mentioned. It's because watching the prequels after Episode V. It gives context for Anakin's history and turn to the dark side before seeing him redeem himself in episode VI. Episode III shows Anakin turning because of his love for his family, so watching his hesitance and turn in VI has more weight given the turn was fresh in the viewer's mind. The people I watched it with said it does that pretty well. (Plus, it gives a better reveal about Luke and Leia being siblings, supposedly, even though it ruins Leia's lines about remembering her mother, but that's a prequels issue in general with consistency).
I think watching Episode 1 is needed to get the whole Master/Apprentice Sith concept since it's not really dived into in Episode 2. Watching 1 also gives better context for Anakin's mother, probably the most "emotional" part of the film, which has little context without seeing Episode I (though Episode IV VII showed you don't necessarily need to be shown context of two character's interactions beforehand (Obi-Wan/Darth Vader, Han/Kylo Ren), and even then, I've seen people argue we should have seen more of Han/Kylo Ren before the final scene, but I'm rambling now).
I've also seen the arguments for the following
1 > 4 > 5 > 2 > 3 > 6 (it spoils Yoda's reveal, but it sets up the lore more of the prophecy, and sets up Obi-Wan/Anakin as characters better so their scenes in IV hold better context)
4 > 5 > 3 > 6 (Other than Dooku, 3 can more or less hold up on its own and 1/2 aren't necessary to view), though you can watch 1/2 after for getting more context later.