The world is still deciding what Bitcoin does as well as how is should be classified, after it's inception twelve years ago . Practically, Bitcoin isn't isolated from the traditional banking system because its price is supported by USD bank liquidity making its trade as a speculative asset rather than a currency.
Bitcoin is global. Not because it's mainly paired with the USD doesn't automatically mean it's totally reliant with the US banks. Heck, even other currencies' trading pairs are mainly with the USD, and it doesn't make them not-currencies.
Satoshi Natamoto envisioned Bitcoin as an alternative to traditional fiat currencies. If Bitcoin had been trading on its core value proposition - the ability to be your own bank - then Bitcoin would have rallied with rising bank uncertainty
The thing is, you don't expect everyone to be convinced this easily for such a big paradigm shift. Everyone is simply too used to trusting banks and centralized entities in general. Bitcoin being decentralized is just not much of an easy concept to grasp.