You pay a shop 0.001 BTC. It opens the transaction and sees another output of 0.050 BTC. Who got that? Another recipient—or you, receiving change? The shop may not know. It can still see that your small purchase shares a transaction with a much larger amount. That doesn't reveal your whole balance, and the addresses don't come with names. Batching can save fees, but every recipient gets this wider view. I wrote about when that matters: https://medium.com/@molnardavid84/three-payments-why-send-three-transactions-73bf373408fd I'm an independent Bitcoin developer focused on privacy.