ChessBase has followed up on the Biscay interview in Reply #2 with a review of Blitz by German chess journalist Tatiana Flores.

https://en.chessbase.com/post/blitz-the-monegasque-chess-manga-a-review

Based on the excerpts shown, it appears that the review was done with the French-language version of the manga.  The review mentions that nine volumes have been published so far, with a chess glossary in each.  The English translation is deficient in both these respects since only the first volume has appeared, and it lacks the glossary and other features described in the review.  Volume 2 is slated for release next month.  The description from Ablaze, the publisher, notes that it will have bonus material, including move by move explanations of games and a "chess lexicon".  It remains to be seen if this an accurate description because something similar was promised for Volume 1, and that book didn't include those features.

I picked up Blitz Vol 1 out of curiosity and found the story to be fairly engaging.  However, the chess content is somewhat limited.  

Young Tom is taught the rules of chess by an expatriate French baker named Jean-Marc (sort of Tom's version of Mr. Shaibel in The Queen's Gambit).  In that scene, the reader is shown how the pieces move, but nothing is given on strategy and how to conduct the game.

At one point, a rook is referred to as a "tower", and the note explaining j'adoube says it literally means "I knight" in French, rather than the correct "I adjust".  At least the error in the diagram of the position from the Kasparov-Topalov game, which I mentioned in my previous post, has been corrected.

In a later scene, Tom is shown studying one of the Kasparov - Deep Blue games.  And when Tom plays a game against Laurent, the president of the school chess club, it's clear from the panel showing the board that Tom's playing the Black side of a Sicilian Sveshnikov, which seems a bit far-fetched considering the fact that he's only been taking lessons from Jean-Marc for two months.

That's about it for specific chess content.  Otherwise the games played by the characters are rather bereft of details.  Garry Kasparov serves as a bit of a framing device.  His game against "Kaiju 96" opens the book, and he returns toward the end to announce that he's starting a project to personally train young players to become the next generation of chess ambassadors.  These players will be chosen from the top finishers of a series of international tournaments.  The book ends with Tom and his clubmates excitedly gearing up to train for the first tournament.  The results of their efforts will likely be shown in Vol 2, which is slated to be published in February next year. 

In checking on online reviews of the book, I found that the theme of a young boy gaining mastery of a subject (like Tom is attempting) is a common theme in shonen manga.  However, the attainment of proficiency is nearly always an end in itself.  Doing so to impress a pretty girl is much more of a Western storyline.  Perhaps it's not surprising then that the main writer, Cedric Biscay, is a Westerner who worked in Japan for many years and developed a fondness for manga that finally led to him writing one himself.