> you still need exchanges, wallet providers, people running nodes, etc

you don't need exchanges or wallet providers, or any other intermediary, to exchange Bitcoin -- those add layers of convenience (conversion, storage), but they do _not_ strengthen the web of trust and do not provide the same function as intermediary banks and clearing houses do

yes, you do need people running nodes, but they're not intermediate layers, and you can run a node yourself to benefit from the system (though in practice it's no longer profitable due to bitcoin farms)