The problem with breeder reactors is that they're even more expensive than burner reactors. And there is no need for them unless nuclear takes off big time, which it won't, because it has lost the race to renewables.
Breeders are from an obsolete vision of the future where we'd have an order of magnitude more nuclear power plants than we do now. In that future, uranium would start to be in short supply. But that didn't happen, uranium remains cheap, and breeders have no business case.