I disagree unless you're talking about 'fiat' as in cash only. Compare the speed of SEPA transactions, international bank transfers (et. al.) to Bitcoin transfers, and you will see how superior it truly is.
I was pointing at doing daily shoppings in physical stores. In that regard, fiat through cash, or fiat through payment via NFC with phone or bank card are superior. Benefits are that everything is instant, no fees involved, people enjoy insured payments, etc. If you look at Bitcoin when it comes to transferring money from one point to another, then yes, it's surely superior to what fiat related infrastructures can offer.