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.

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.

Well I'm in Finland and seems the system here has multiple independent services and is thus potentially more resilient.

I was under the impression that all of those services and login methods rely on suomi.fi in the end, but I admit that I don't understand the system terribly well.

Same in Norway.