Of course not! For this reason you need different providers and jurisdictions for datacenters, operating systems, encryption providers.
It’s the very same principle tor works: sure you can do traffic analysis and be able to “unmask” a tor user… and for this reason tor deliberately sends traffic across 3 different jurisdictions. Is it still possible to force 3 different nodes to cooperate for the unmasking? Sure… but you need 3 jurisdictions to collaborate with that.
Also, fun fact: bank secrecy is still in effect for Swiss residents (regardless of the citizenship) and people resident outside of the US and EU. Because things are always more nuanced than they seem 🙂