The very fact that one party can bully others to completely shut off parties from international banking is probably not what a lot of countries thought when they joined the system.
The Chinese' CIPS actually uses the SWIFT messaging system underneath, although I imagine China to be as neutral as the US/SWIFT when their own interests are at risk.
As much as I dislike Crypto what it is today, in a way the idea behind it is supposed to decentralize the trust system that is at the core of SWIFT. Otherwise you should consider that the only way you can have a truely neutral settlement party(i.e. a neutral SWIFT), is if it is run in a country that is strong enough to have a fully independent economy(already unlikely) and has enough military power to support itself. But then the latters interest in global power would probably directly interfere with the concept of neutrality.