[Zezima]

That doesn’t sound correct. It’s not the finger print which identifies you to the website, it’s the public private keypair.

The private key is stored in the device’s Secure Enclave. It’s the face and fingerprint recognition which authenticates to the Secure Enclave in order to retrieve the private key.

When purchasing an android phone, you do need to sync the private key to the new device. Hence Passkey, which uses iCloud as its secure and authenticated syncing scheme.