Compared to Pierre, Prince Andrew seems to be more reserved on his admiration. He almost keeps it to himself, never speaking of it except for that one time when he helped with Pierre's argument at Anna's soiree. Yet, I can tell he praises Napoleon just as much as Pierre, or even more. He doesn't say much about it because like his sister Mary said he has an "intellectual pride"(p90). Feeling no one else could understand his genius mind, he thus senses that it is unnecessary to share all his feelings. Moreover, he doesn't want to seem rude and weirdly different from the others, though he sets himself outside the crowd deep in mind.
Why does Andrew admire Napoleon? Why not Nicholas or Boris? I think it's an important point that Tolstoy is trying to make about Andrew's characteristics. First of all, he does have an insight. Andrew sees the greatness of Napoleon, unlike the others who resent Napoleon just because he is leading a war against Russia. Next, Andrew yearns for Napoleon's power and achievements. He believes that individual greatness can make a difference and is almost obsessed with himself, just like Napoleon. However, what he doesn't have is Napoleon's opportunaties and abilities to achieve the so-called "greatness".
Will the war change Andrew? I'm not sure but, I think he's starting to realize his weakness. When he sent the retreat order to Tushin, "the mere thought of being afraid roused him again"(p167). Maybe Andrew needs a stronger incident to wake him up.
*Credit to Glorianne Dorce, she edited the blog.