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Distance matters for physical money, and digital distance may matter for digital money, but afaict that has nothing to do with fungibility. It's related in some sense, but it's kind of like calling a mentally disabled adult a child, or a smart child an adult.
Is onchain bitcoin not fungible if both hot wallets and cold wallets exist?
I think the relevant monetary property is portability.
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What if it does? In your example you say all else being equal and then you suggest that a dollar spends differently depending on your distamce from the buy (something not being equal).
Maybe yours is the pre-information-economy perspective? Distance shouldnt matter if the money isn't physical.