With no ARW, there's likely to be a general European at some point sooner or later. Land armies in Europe is going to be much more expensive for France, so that could even bring forward the bankruptcy.
It should also be considered that the ARW was Britain versus France, Spain, the Netherlands and her own colonies yet it was still pretty evenly matched. If it gets Austria or Russia as an ally in the next war, France could lose hard.
You should bear in mind though that the French Revolution was an extremely chaotic event that could, and likely would, go in a completely different direction due to huge butterflies if the change the year bankruptcy happens. It could plausibly end in military dictatorship, complete anarchy, constitutional monarchy or enlightened despotism, or anything in between.