Basically no, because bitcoin and banks is very different thinks in its cores but the competition between them serves the people

What you're saying is true because people will also exchange btc to fiat in order to buy things that can only be bought by means of fiat money. But what everyone saying here is what if many countries began accepting btc as a payment ( as we all see they began regulating btc ), and what if many people are using btc let's say 60% btc 40% fiat currency, I wonder if the banks will accept the fact that btc is the new age and they will bought a lot of btc in order to replace their money into digital currency which I think if they don't do some companies will begin launching other cryptocurrencies banks and the older banks will fade, which I think this will have a lot of contradictions regarding fiat to cryptocurrencies to Central banks and to online banks and to government and it's people who use cryptocurrencies. This will be a long haul of hearings and New laws will be implemented in the payment system of cryptocurrencies.

Banks will start wars between countries, races, religious to obtain more power, let alone what they would do for not losing their existince. Unfortunately, they will always exist.