If necessary, you will be deanonymized not by the peer-to-peer payment passed through the mixer, but by the context of the payment.
I don't want to reveal the origins of my coins, some of which come from this very forum, and this is enough to have them sent to a mixer. I don't understand for what context are you talking about.
I think you don't usually make a payment for the sole purpose of "make a payment". For this payment, you want to receive something in return - a specific product or service. The weak point of your privacy strategy is that the full cycle of interaction "money-goods" or "money-services" is only partially performed in a decentralized peer-to-peer network, and the other part is performed in real life or on the Internet, where, generally speaking, it is much more difficult to protect yourself from deanonymization, especially if you voluntarily and knowingly display a "red flag" when making a payment using a mixer. The context can be almost anything - an unclosed adjacent browser tab, a smartphone’s geolocation not turned off, a voluntarily filled in postal address for a delivery service, a gait identification system through an outdoor surveillance camera at a pharmacy in a neighboring house, and you never know what else.
If you want to make an anonymous payment, it's much more reasonable to use a monero-type blockchain that was initially closed than to try to obfuscate the trail in a public ledger like bitcoin
No, it's exactly the same thing. Using Monero means you want on-chain privacy. It not reasonable to distinguish it, as it's essentially a protocol with continuous and mandatory mixing, similar to making coinjoins.
[/quote]
These are different things. In the case of Monero, not only the content of your payment is hidden from prying eyes, but the very fact of the payment is also hidden. Without a key to read a particular transaction, you won't even be able to know that it actually happened.