It has one 800 MW breeder that has been operating at full power for two years. Plans to build more of them in China appear to have been shelved. The successor BN-1200 implementation has also been suspended. The 6 reactors that Russia currently has under construction are all PWRs. I think that referring to breeders as future reactors (in the context of commercial power plants) is appropriate.
But it’s not like it’s a brand new design just out of prototyping. It’s a continuation of a 350 MW unit that ran for decades and provided drinking water.
Point is the Russians have breeder technology fairly well figured out.
The BN-800 is certainly better proven than other breeder designs, which are either much smaller or operate only in PowerPoint slides. Can it or something like it be built at prices to make breeder power reactors commercially mainstream? That's still unknown. Commercial viability is the biggest unknown for every new power reactor design.