This just sound a bit, meh. Local exchanges in our country allow us to buy bitcoins using our money from most banks here. This seem to be the setup with this bank you mentioned. What I'm curious is, is it the only bank there that allow this?
It really isn't like that. I looked into OP's linked and their new service looks like a web wallet that is centralized removing decentralization feature to bitcoin though it seems to be setup like how you mentioned it. The only difference is that the bank itself owns the online banking site which is like a bitcoin web wallet itself. This can be good for bitcoin though since it might make more banks from Norway adopt it and thus will boost price.
Oh, cool. Ours is just an exchange, though it links to every major bank here. They're currently only working with btc and php thought I heard they're planning to include str.
Now that I thought of it, it would be cool to have an actual bank provide this service. Maybe there's a separate wallet in it for btc and fiat and you can send your trading profits to either and have that used to top up a cash card if you use one.