I believe this will happen. The world is moving from paper reliance to paperless systems. Usually, utility bills and other periodical bills give the customers option to get their bills via email or other electronic copies. This is the case also in online purchases. They usually just give the customers a copy of the receipts and other documents via email.
But it will happen in so many years, Because we are in the high technology are already used by almost people and maybe for the purposes of their online transactions only. But i think its not easy for them to create their own cryptocurrency, because they maintain their fiat.
Partly you're right on that, government will remain greedy to take over fiat control so I don't believe they'll loved to have cryptocurrency as main currency of a certain country. Preserving fiat integrity in terms of general adoption remained stronger as people traditionally used fiat cash, and it isn't easy for individuals to adopt specially when there's poor internet connection particular on remote areas around the world. Maybe in the future digital and virtual currency is a form of an option for everybody.