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What would happen if someone were using it for zapping on nostr like 21 sat TX back and forth? Wouldn't that build up a large onchain fee for when the opening TX finally confirms?
No, zapping over the Lightning network does not create an onchain transaction. And also the channel opening transaction will never confirm if you replace it, as I mentioned in step 2.
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You can use endlessly those zero-conf channels, never closing them. https://docs.lightning.engineering/lightning-network-tools/pool/zero-confirmation-channels So you will never have an onchain "footprint".
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