No. It isn't proof that a payment happened though.
I heard other Nostr clients post two notes per zap but that part appears to be missing from Amethyst (Android)?
Discussion
There should probably be a way to prove.🤔
There is no way to prove a LN payment or a LN channel balance to a third party without closing the channel.
Even if you set it up that way intentionally? What if you route through a server designed to confirm the payment?
Seems like a major flaw... What if Amazon wanted to let you pay the merchant directly, but still handled order confirmation and delivery?
the receiver needs to have a wallet that supports sending receipts for it to appear on nostr.