Exactly. And beside, he did not left the army to hide. He came back to France to raise a new army, and the Coalition still needed almost two years of hard figthing before they can at least have him capitulate.I don't see what would have been achieved by Napoleon remaining with the army in Russia to the bitter end, if anything he would have just got in the way. What the army needed was a man like Ney, a tough hard fighter to hold together the rearguard. The fate of the army was sealed before Boney fled back over the Niemen, not by his departure.
The French invasion started the 24 of June. They took Moscow the 14 of September. Less than 3 months after they started.
The German started their invasion of Russian the 22 of June. They came as close as 24 km from Moscow the 2nd December.
So Napoleon, on foot, reach Moscow in 3 months, while the German, with a motorized army, needed a bit more than 5 months.