Songs identified using Siri are now listed in the Music Recognition widget within the iPhone's Control Center and in the Shazam app's library.
New in iOS 16: Siri-identified songs now sync with Control Center and Shazam app
Music Recognition
Songs recognized via the iPhone’s Control Center now sync with the Shazam app
Shazam song syncing in iOS 15.6 and later automatically saves songs identified with Apple's music recognition feature in Control Center to the Shazam app.