I've been reading and thinking about it. You are the receiving wallet, you try to swap, but the original mint does not respond. Now what? You display an error to the client and reject his cashu coins? Does he have a recourse to the guy who sent him these coins?
This would mean you never received the payment.
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So it is not really a bearer asset. It is rather a key to access your bitcoin at a custodial mint. If you give this key to another person he must immediately exchange for his own key or reject the payment. Accepting a lightning payment right away is better UX.
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Kinda. It is a bearer asset in that if you lose the token you lose the (claim to the) money.
Accepting a LN payment right away requires online access and interactivity. If you have that then you also can settle the e-cash payment immediately.
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