The problem is that with the British still at war, the peace with the others may not last, as it did not after Campo Formio, Tilsit, etc. .
Well, all previous peace treaties were not equal with a resulting urge for a revenge. This one is much more balanced and may last.
The British may again subsidize nations to join a new coalition.
In a reality these subsidies were covering only a fracture of the expenses and did not cover at all the human losses (aka, taxes produced by the hundreds thousands of the able bodied men). Of course, the hate can’t be discounted as a powerful factor but if a peace is honorable enough it may work.
London did not have unlimited amounts of money and if the main powers of the continental Europe opted for peace it would be marginalized. Nappy overdid the CS but the British blockade was hurting Europe as well.To definitively end the war (which the French public is becoming impatient for) peace has to be made with London.
That would also be the only way for France to get back some of the lost colonies.
The colonies were not overly important for France at that time.