Even years having past, this game really is gorgeous, really a case of don't judge a game by its graphic.
On gameplay, he implies that if you want to do better at battle, you have to take advantages of little trick outside of using auto battle. That's only somewhat true in the very last section of the game, for 2/3 of of the main game, auto battle without switching class will 5* most encounters. And a lot of those tricks aren't actually intended use of the mechanic, like if you want to purposefully move character around the battle field (so that they don't all die in one aoe attack) you have to repeatedly have them go in and out of attack mode so they do there little pre battle animation and move a bit. Its very effective, but completely outside the game intended mechanic. But really, switching between rav/rav/com and com/sent/med will take you trough 95% of battle with ease and let you 5* vast majority of them. The class changing mechanic is a good one, its just not used in any interesting way by poor implementation.
As far as story, I can't really even begin to consider his point when he pretty much start it by "Snow is great" when he's pretty much the perfect depiction of everything wrong with this story. Snow just constantly makes things worse by making obviously bad choice, just for the writer to deus ex machina him out of his problems and then dare to go "man, isn't this guy just the coolest! People should be more like him". Snow closest things to an arc is for him to realize he's the chosen one, and that no matter what he decide, the universe will bend over backward to make sure it comes to pass. Which culminate in an ending where the group goes against everything they've learn during the game, only to be rewarded for it because the game need an happy ending. I guess some people just really like stories that are complete nonsense so long as they depict things as dramatic, but judged by this metric, FF13 is just a terrible soap opera without the pizzazz that those usually bring to the table.
I'm also unsure what to make of the claim that the story man theme is free will, since at literally no point in the entire story did any of the character demonstrate any, the entire game they are following the bad guy plan to the letter. Maybe the game position is that free will doesn't exist? Could be interesting but its not really explored and goes against most of the character arc resolution. Alternatively, the only character with any sort of free will is the bad guys, so is the game position that free will only ends up in evil and mass murder? Again neither explored nor supported.
Ultimately, his review boil down to his interpretation of the ending: it's mostly shit, but if you ignore most of it, and common logic, you can imagine a better one that could be good, "I reject your reality and substitute my own".