I don't think people should be confusing MindBank with Bank Neverdie.
MindBank is a real-world financial institution based in Sweden that functions according to the same rules and regulations as other banking institutions, and can engage in real-world financial transactions, such as deposits, withdrawals, etc. I presume this will also include, as an example, real-world bank cards that work at ATMs around the world.
Bank Neverdie, Moneta Bank, and the others are in-game pawn shops exclusively relegated to existing in the virtual world of Planet Calypso. Bank Neverdie is not going to have a real-world cash card because it is not a real-world bank. As far as I know, Neverdie and the others did not have to submit to financial regulation regimes in order to open up their in-game pawn shops. MindArk did set some requirements, but they were all internal to the game universe.
And I doubt MindBank is going to be opening up these in-game pawn shops, as I believe they'd rather focus on the over-arching financial system rather than engaging in these smaller operations.
The difference I see between MindBank and other real-world banks is that with most banks, you can take the money that is in your checking or savings account and use that to purchase bank services, such as purchasing new checks, or having a new replacement bank card overnighted to your location if you've lost your current card.
With MindBank, one of the services you can purchase with the money in your account is to convert the funds in your account into game funds (PEDs) which then give you access to the online game worlds.
It just so happens that this will be the primary function of MindBank, as opposed to simple deposit accounts or making loans and other banking functions. But I'm guessing this bank status was necessary in order to be able to hand cash back out through a debit card without running afoul of financial regulations in Sweden and elsewhere in the world.
At least this is my understanding of it all.