You are so right, Jon Speelman and Bob Wade put this book together using existing material alot of which was translated from Russian. Some of the annotations are Kasparov's taken from magizine articles etc some of the annotations are not. Still there is alot of games and material for the Kasparov fan here.
I don't have it. But I recommend you: "Kasparov" by Alexander Nikitin, who was one of Kasparov's first trainers, so the comments and anecdotes are from first hand. It's part biography and part a collection of games that were crucial to Kasparov's career. One interesting fact about the annoteted games is that Nikitin writes the thinking time of many of the Kasparov moves. I have it in spanish, but there is an english version.
67 ( +1 | -1 ) "Fighting Chess"The book covers Kasparov's early carreer and features his chess matches over the period 1973 to 1983, at which time he was playing very adventurous chess. A lot of the analysis is from Gary himself.
I consider it to be a very fine book and it is interesting to see his playing style emerge over his formative years. Another fine Kasparov book which rests in my library is Kasparov Teaches Chess, a series of correspondence study lectures given by Kasparov and which were originally published over a series of weeks in the "Sport in the USSR" magazine, but were later bound together in book format.
I agree with your last selection: "Kasparov Teaches Chess". It a little elementary book. But even if you are an experienced player, you will enjoy it because of the love to chess that Kasparov puts in it. I have the spanish edition and I had read it at least 10 times. Gary Kimovich Kasparov transmites his love for the game, it is contagious.