What are they going to do if Apple in particular rejects CurrentC as an app? Do it via HTML5/WebKit? Cannot see the user experience on that being particularly good.
Plus as people on Reddit pointed out, with Apple Pay/Google Wallet, the liability for fraud is still with the banks. With CurrentC you MIGHT be liable for any fraud in the US (because of how credit and debit fraud is handled).
PS - The name "CurrentC" is just terrible. Least memorable name ever. They should have just called it "Vanilla."