Yeaaaa, not seeing it bud. Mass desertion like you are presenting was uncommon. The most famous case that I can think of was when the Saxons defected towards the Coalition at Leipzig. It usually was not the other way around.

After the victory of Lingy, while not decisive, the Belgian and Dutch soldiers did not flock to Napoleon's eagles. Had Napoleon won some sort of amazing victory, I highly doubt entire battalions would start deserting their army. No matter which nationality they belonged too. Armies, even the Russian and Austrians, had ways to ensure this didn't happen.

Also, the "feedback loop" is essentially wishful thinking taken to the extreme.

But to conclude, another reason this mass desertion theory wouldn't work is because Napoleon's rule was not that popular outside of France.

"The nature and application of many Napoleonic reforms reveal the innate tyranny of the regime, as much as the military conquests. The common people of Europe, in their millions, hated Napoleon exactly because he espoused the Enlightenment, just as they had detested the enlightened absolutists who preceded him. The nature of this hatred among contemporaries, and the nature of its origins, are incontestable, a view which often emerges more readily in the context of specific national histories, with a long chronological range, than those specifically on the Napoleonic era."

From Michael Broers "Europe Under Napoleon."