Cards are also online payment. You can already pay with such systems in some physical shops and restaurants, alongside google/apple/alipay.

But cards are offline from the perspective of the consumer. Sometimes even on the merchant side of things. Not that it is an important distinction nowadays--but I have definitely tried to pay with a merchant's own app-based payment solution that refused to load due to a bad cellular connection. I haven't looked into how Wero will handle this.