A private crypto exchange is designed to keep the conversion process focused on the transaction rather than requiring every user to create and maintain a trading account. For many standard swaps, you can select the assets, enter a payout address, and begin the exchange without mandatory registration.
Private does not automatically mean completely anonymous. Most public blockchains keep transaction records visible on-chain, and additional AML or risk checks may be requested when a transaction triggers applicable controls.
Standard routes may therefore begin without an ID request while still being subject to additional verification in certain cases. The exchanged asset is paid to the cryptocurrency address supplied during the order rather than stored in an account balance on the service.
Users comparing different approaches can also review this Anonymous Crypto Exchange option to see how privacy conditions, rate selection, and exchange flows can differ between services.