With the way Digid works, I'm not too sure if I'd trust the system that much either, to be honest. Allowing the government to track what citizens visit what websites when seems like a massive privacy infraction. There are technologies that can fix these shortcomings, but I don't think the government cares about them.
I don't think the Australian system introduced in the linked article is comparable to the card-based Digid system; the risks and benefits of a system where companies can authenticate people using government ID are very different from just authenticating to (semi) government.
We can do a lot of paperwork online, it's great when it works. I belive is one of the few "internet stuff" that wasn't just regarded as a waste of money. (we had a scandal about a simple site that costed millions).
You can pay taxes and other services, change your family doctor, see documentation related to unemployment/social security, etc
The "verification" is done by a few online private providers via Webcam or you can do it at the post office (still private but the line is blurred).
The name is "IO", a wordplay on Imput/output and the fact that "io" means "me" in Italian
I'm talking about the portal where you can do stuff, the verification/identity is a system called "SPID".