A successor with a Burgundian defeat similar to IOTL? It's not going to stop Louis XI even for a second. Burgundy was a defeated
apanage falling in
commise (meaning that when a lord pissed too much the king, this one usually claimed back the lands. A bit like it was done on Plantagenets).
Well, I'd tend to say they would be close to Imperial court at this point, would it be only to prevent the big blue blob advance in Flanders. That plus regional policies would make me think they'll keep to the Catholic side, without encountering the same issue than Spanish Hapsburg in northern Netherlands.
Eventually, you may see an ongoing English/*Netherlands alliance trough Valois-Bourgogne, would it be only trough the continuation of the late medieval alliance with Flanders.
I tend to think you'd end with a more or less phagocyting alliance with Lorraine, pursuing the goal of forming a continued territory.
A territory, that depending who you're asking, could look like
this (red borders) or like
this (black borders).
Eventually Burgundy could gain a title and relatively unified power on it (while being cautious to not piss municipal autonomies : at this point Netherlands would be their main resource and economical heart)
We discussed
there a bit about a surviving Burgundy-Flanders (that would be far more Flanders than Burgundy, as for the latter being totally taken over). It's a bit long, but one of the few constructive arguments between two different takes on an ATL (and I don't say that only because I participated

).
France religious wars would be certainly butterflied, at least how they happened IOTL. Historically, it was dependent of so many factors that would be modified by this PoD.