kato

Yes, the Commandant Riviere were their direct successors officially. The concept, with the Commandant Riviere, was already "watered down" a bit though, as another focus was needed at that point (late 50s/early 60s) - the Commandant Riviere focused quite a bit more on ASW from the start. And the overseas possessions were mostly gone at that point, so the need for a system as originally designed wasn't there anymore.

As for the Bougainville class, in addition to what i said above, they were also built with very low draft for littoral operations.
8 ships were finished, out of 10 planned; out of these, three were scuttled at various dates (one at Toulon), one sunk to prevent capture, one was sunk by a RN sub in 1940. The other three survived WW2, and were kept in service until 1957/58, when the French completely renewed their WW2 fleet. All three saw further postwar service in Indochina or Korea up until 1956.

They were extremely versatile vessels; in WW2 used for both coastal and open-ocean convoy escort duty. During the Casablanca attacks, a Bougainville was used for combat SAR duty among the attacked French fleet, as well as some air defense - it downed at least one US aircraft during that. In the Pacific, they were used in ASW duty against Japanese subs. One was used to clandestinely land ground forces on Corsica. Postwar, Bougainvilles performed humanitarian/disaster relief in France's Pacific posessions, as well as anti-piracy patrol around Indochina. This involved in at least one occasion a direct interchange of MG/cannon fire with hostile ground forces in the Saigon Delta. One was later also assigned to training duties, alongside the old Jean d'Arc cruiser.