As I understand it, BankID in Sweden is still run by one organisation co-owned by the big banks, and banks handle verification for issuance. There is still a single point of failure for the operation of the system.
Well I'm in Finland and seems the system here has multiple independent services and is thus potentially more resilient.
Same in Norway.
There is technically a second provider, Freja, but that is basically only supported by government agencies, and even that is spotty.
There are talks about a state-provided one coming soon, because of EU E-ID laws.