According to the Bavarian historian Steiner Napoleon had a clever *but unsuccessful strategy* However, his backup plan ultimately led to his crushing victory at the Battle of Nations at Weimar.
He fell off the heights in order to luer the armies into the town below. It ALMOST worked. The Austrians left the hill and engaged his strong left flank in the town and mauled them. Rather than the Russians coming down, he actually OVERESTIMATED the Austrian resolve and they fell back in a rout. The Russians kept the hill and the Austrians just funneled more troops, increasing their route.
The rest is history. Napoleon charges up the heights and finds way too many Russians, falls back orderly to the North west. Austria needs time to rebuild its army after its crushing defeats in Ulm and Austerlitz, but the unbloodied Russians and now Prussians along with other more minor coalition partners gather in Bohemia and then march West. Napoleon intercepts them at Weimar and traps them inside the city annihilating them while the Austrians were not powerful enough to break them out.
IF the French won at Austerlitz, it would be a big strategic victory, but not tactical one. There is no way he could have inflicted a Cannae style disaster on BOTH the Austrian and Russian militaries. He might have forced their surrender and ended the coalition before Prussia jumped in, but ultimately his fallback plan ensured long-term French dominance.
OOC : NAPOLEON LIVES!