In 1805 and before Napoleon often could outmanoeuvre his opponents, but after that it really didn't happen big scale again. Not at least the allies actually learned fast. In 1805 they still moved around with cumbersome trains in 18th century style, but by 1809 and later they had adopted the army corps system and staff system and most of the French tactical innovations as well. By 1813 I will claim they were at least on par with the French and by 1815 probably better.
The Prussian General Staff system had been developed after the smashing defeats of 1806-07 and really still is the model of General Staffs - by 1815 it was second to none, but the other allies had improved drastically too. But at that time mostly utilising French inspiration to improve own systems (like the Austrian Generalquartiermeister system).
It is often overlooked, that in the autumn campaign of 1813 it was Schwarzenberg's staff (lead by Radetzky) that successfully concluded the campaign - not at least by having Schwarzenberg draw the attention of the ever present Monarchs (especially Alexander) while Radetzky lead the operations.
Anyway the army Schwarzenberg lead against France in 1815 was composed of trained troops lead by experienced officers and a competent staff. As an other example the Bavarian contingent was of 50.000 men, more than Bavaria had ever fielded, and better equipped, trained and led than ever before.
The trouble with this argument is that Schwarzeburg's performance in 1813 and 1814 was very lacklustre. Yes, the Austrian army was reasonably well trained but it was the only one the Habsburgs had and they did not want it too badly damged as it was the gauruntor of their position. The Austrian economy was pretty much a wreck and armies are expensive.
Even in 1814 and 1815 Napoleon was still a much feared opponent.The assumption here is that he has just won a convincing miliary success in Belgium that, at the least, has severely damaged Welligton and Bluchr's armies forcing them to retreat, quite possibly evacuating Bellgium, The morale of the Armee du Nord will be high and many pf the early problems such as staff work will be at leas partally overcome.
Blucher might not have had his four corps destroyed but they may well have been severely damaged. If Welligton's army was badly damged, destroyed and forced to evacuate we may well be looking at severe political repurcussions, Lord Liverpool's government in London in serious danger of collapse and replacement with a peace party, probably led by the Whigs. If Britain now drops out of the war the coalition prrtners have just lost their paymaster which means no more subsidies. Added to which their are serious political divisions due to the Saxon crisis a few months earlier over which the 7th Coalition powers had almst gone to war with each other. It would be very difficult for the 7th Coalition to hold together given these circumstances. As well as Britain one of he other partners might well withdraw from the war, perhaps thepolitically shaky Austria or the badly battered Prussia whose King, Frederick William, was always somewhat weak.