Czaralex,
A culture is not made more impressive by its feats at arms. It is, though, often made less... Whether the cossacks were the mightiest race of conquerers in history and killed a thousand Frenchmen for every one of theirs or the mighty machine of the Czar was the vehicle of Ares himself is meaningless to me. This isn't about the size of your favorite army's privates.
Moreover, I've never even suggested that the Russians aren't capable warriors-to the contrary: Peter, Ivan III, Ivan IV and Stalin were tremendous military leaders. But Paul wasn't-and he didn't steamroll anyone or anything.
"The Russian winter was made up by the West's propaganda,"
I'm hardly a devotee of western propoganda. But history is history-Napoleon lost to the winter, Hitler lost to the winter, Charles XII lost to the winter. The very same way the Germans lost to Britain's island fortress and the crusaders to Saladin's superb desert logistics. Tribes and cities and nations make use of their geography, their resources, their natural advantages, and from time to time those advantages become the overwhelming factor in matters of defeat or victory.
I would even say that had Napoleon managed to resupply and defeat Paul's army again (and he would have, which is why the Russians fled), he wouldn't have been able to hold out against an eastern uprising for long. But, then, that wouldn't aid in an invasion of China either.