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Pay yourself and then try to trace it back as if you were a random payer, starting from a meaningless LN invoice.
Let me know if you find your "stash".
?... There's literally no ambiguity whatsoever with regular BOLT11 privacy. Your UTXO is shared with the sender, it's completely transparent:
If you use a nonblinded BOLT11 invoice, your channel's UTXO is revealed to the sender, even if it is a private channel.
Yeah so? Don't tell me that your node have only one channel and your entire stash sits on a single UTXO.
Through that single UTXO you are passing by infinite amount of sats. That UTXO will reveal the final amount only when the channel is closed. And that is also valid if the payer have a direct channel with you, otherwise is almost impossible to find out.
Good luck finding my other stash from a meaningless UTXO that is from a channel in continuous movement.
Please do the test on yourself: send from your public node to another private node, using 2-3 hops. Then just by paying that invoice, find the real balance on the receiver UTXO, with the channel still open.
Please do that on your own payments.
Pay yourself and then try to trace it back as if you were a random payer, starting from a meaningless LN invoice.
Let me know if you find your "stash".
As I said many times here: use the damn 3 levels stash - vaults, cache, spending. Compartmentalize everything and use decoys.