The movie does attempt to explain Napoleons successes as a commander. Not terribly well, but there we go, its a movie. In the Toulon sequence it tries to explain his mastery of artillery, and his ability to analyze a military situation, finding a weak spot. In the Austerlitz sequence (btw, if you have an interest in Austerlitz, get “Napoleon and Austerlitz”, Scott Bowden, which is way into the category of TMI, but in the best way. It also does a fine job on the whole campaign of 1805), the movie goes some way into explaining that Napoleon had anticipated and prepared for the allies’ moves beforehand - which he had. He had a knack of reading minds. Some minds sometimes anyway.
In a more general way, get Duffy’s “Campaigns of Napoleon” for a comprehensive view of how Napoleon approached both campaigns and battles. It is NOT a proper history of the Napoleonic wars. I have a rather embarassingly large Napoleonic library.
I have read quite a bit of history over the years, including military history, enough to know that Napoleon was genuinely skilled as a military leader. A few asides in the movie would have helped explain his talent and success.
Most of all, someone could made the point that Napoleon had an unusual ability to see and understand a battlefield at a glance and to size up a strategic context and know what had to be done. Nowadays, modern professional militaries routinely study and try to develop such skills, but in an era of parade ground soldiers, purchased commissions, and royals in command, Napoleon was an outlier -- a smart, tough, and talented political and military leader.
In addition, France of the late 18th Century was wealthy and stirring with energy and ideas from the Enlightenment, far more so than the Bourbon regime and Louis XVI could contain or manage. Although the Revolution liberated France from the monarchy, it set it into political turmoil, with Napoleon then providing order and a sense that he would secure and extend the Revolution.
That combination provided a potent source of motivation and permitted mass mobilization of French society for war. The established monarchies of Europe recoiled in fear, eventually prevailing only because of British support, Napoleon's overreach, and Wellington holding at Waterloo until Blucher arrived.