As I see it, there are three possibilities why this “journalist” sees precision that I can’t even begin to grasp: 1) My $3,000 system doesn’t buy me admission to this phenomenon, 2) It’s all BS, 3) I lack knowledge or understanding that the “journalist” has.
It could be a combination of all three. Your system, but more likely, your setup of your system may not be capable of some of the described phenomena. The audiophile world is filled with hyperbole. Sonic differences are typically described as dramatic and not subtle. Finally, the better reviewers have heard far more systems in more circumstances than the average audiophile. It's possible that they have truly heard something that you have not. Some even have the writing skill to describe it. Regardless, learn what you can, but don't take it too seriously.
Let me use this story, possibly true, to illustrate. A sports writer for a Philadelphia newspaper is in a bar early in the evening and spots the music critic falling down drunk. That night Ormandy is premiering some classical work and the music critic clearly is not able to attend. The next day the sports writer picks up the paper and reads a detailed review by the music critic of the Orchestra's performance. The sports writer searches out the music critic and asks him how could he write such a thorough review of a performance he didn't attend. The critic replied, "I'm a writer."