Cashu can work over mesh (see my project nutband).
I've wrote an article on "island" Lightning network deployments. Imagine a village with super unreliable internet connection. There could be professional nodes, using blockstream satellite to monitor for channel closures and providing channels (or a Cashu mint).
All this would work without internet (esp. if accounting unit is sats).
Bitcoin on-chain - probably best with Internet.
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Yep I can imagine this type of things but my question was more theoretical, can we imagine a way to make it work almost totally without internet except for initial node synching IBD (which could be semi trusted maybe with SPV like tech ?)