I’m also wondering if you and I have encountered rather different permutations of these “pay-via-loyalty-app” schemes. In the part of the world where I’ve been spending time, the gas purveyors who I notice pushing the apps are the big, brand-name fuel station networks. The same ones who’ve pushed own-brand payment services to fleet managers for a while.
If you’re worried about card skimmers, wouldn’t you prefer to use the method that routes payment directly through Corporate Fuel Parent, rather than trusting the franchisee with any of your financial information?
That's just the way people have paid for gas since they had bank accounts.