Plinkett looks at them as movies first and why they don't work as movies.
We're talking about movies, not rocket science. There are no rules as to how a movie "works". Apparently, they were good enough to gain a shitload of money at the box office (just like nuTrek, or Transformers, or Twilight, or Avatar, or Dark Knight, or Harry Potter, etc...) . I don't like them as much as the originals, but I've seen worse movies. A lot worse.
It's true, you could follow the rules and it still won't work. You don't have to even follow ALL of them, and it COULD work.
But there are rules.
For example, a character should remain consistent. That's not to say they can't change, but, they should change in away that is consistent with who they are. Or something has "changed them" like magic.
Or Tone. Tone should remain consistent. Generally, you aren't going to start as say... a slapstick comedy, and then suddenly turn into... sci-fi epic. Now, you can have a scifi comedy, but, you aren't going to veer from one tone to another.
Most movies have an inciting incident. We see a character in their lives and then Something Happens and it alters the course of their lives, and in most cases, that the movie we are watching.
So, yes, there are rules. As an audience we thousands of years of expectation on how a story is told to us. Sometimes, those can be subverted, and generally, the successful ones, are made by those who know the rules the best.
I don't like the PT that much either, but, of course, there are worse movies, a TON of worse movies. There have been a LOT of movies made.