My general impression with this movement, is not that it is a way of easing transfers, but rather a nationalisation of bank accounts. The subject crops up frequently in Denmark, where citizens are required to have a bank account, that the government knows about. But only private banks offer bank accounts.[0] So it raises the question; why does the national bank not offer bank accounts?
Then public interest, rather than private, could set rates for fees, costs and interests on these bank accounts. It also follows that in this scenario, it might be worth considering whether private banks should even be able to create money the way they are permitted to now, and only let the national bank 'print' money (both physical and digital).
[0] It should be noted that the law requires private banks to offer these account at no cost to citizens (though just one per citizen).