There were several negotiations for this during the 17th century, basicly a border was proposed around the line of Ostend, Bruges, Ghent, Mechelen, Maastricht, with these cities and everyting north of it becoming (or in the case of Maastricht remaining) Dutch, while south of the line, including Brussels and several other Dutch speaking towns becoming French.I've always wondered why France in the 18th Century never just tried to partition the Habsburg Netherlands with the UP? Collusion in partitioning them would settle the problem decisively, would buy France a secure Northern border that they could ignore for the rest of the war and all subsequent ones (if not creating an Ally out of the United Provinces), and so long as Anwterp ended up on the Dutch and not French side of the border, the British would give up waging war with unceasing fanaticism since much of the strategic risk in the Low Countries would be neutralised if Holland gets the lion's share of important ports. Quatorze should've seen that this was the smart play.
The problem though was that, first of all the Dutch republic and especialy the Holland (and mainly the Amsterdam) regents did not care about the Southern Netherlands. Actualy Amsterdam considered Antwerp a threat and prefered it to remain outside the Netherlands, so the Dutch would continue the blocade of the Antwerp port. If Antwerp would become Dutch, they would open the port and Antwerp would become a rival of Amsterdam again.
Secondly, The Dutch prefered a buffer state between the Dutch Republic and France, since that would mean that when France attacked the Netherlands, a major part of the initial fighting wouldn't happened on Dutch territory and it would drag in a second country.
Thirdly, Dranco-Dutch relations went sour after the end of the eighty year war. Partly because of incompetent diplomacy from the Dutch part (the Dutch merchants didn't gve a fuck about anything other than their money). Partly because Louis XIV realy dislike the Dutch republic, especialy the Republic part, partly because France claimed everything up to the Rhine border, which included part of the Netherlands. So in the 18th century the Dutch and French didn't trust each other enough to divide the Sothern Netherlands.
That said with a different 17th century I could still see it happen (a Franco-Dutch alliance at this age is an timeline idea I am toying with) and maybe if we can avoid the French revolution Franco-Dutch relations change enough for such a proposal to be accepted. The Netherlands already dumped Britain as an ally when they realised Britain was a terrible ally and they were becoming more friendly towards France. So I could see it possibly happen. Not teribly likely though.