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Passkeys Explained: The End of Passwords
(sentientrant.com)
This is a most excellent place for technology news and articles.
I think you're making my point. First, you're right that passkeys can't be phished. But access to the passkey manager can be. And now you've doubled your exposure to leaky third parties, once with the service you're accessing and another with the passkey manager.
But the third parties actually have no access to your passkeys. The passkey stored are end to end encrypted blobs. So even if anyone gets hold of it, its useless. But a password for instance when leaked from 3rd party can be used easily as the server will have to decrypt the password at one point. So the means to decrypt the password will be at the server but passkeys aren't like that. The private passkey can be decrypted only on your device for signing the challenge. Basically your exposure was basically halved.