There are both statements all over this thread, "the private key is inextricably bound to the device" and "the private key can be backed up". This seems to be an attempt to declare both the problem with theft and the problem with lost devices as solved. Except, they are mutually exclusive: If the key is bound to the device, I can't back it up. If I can back the key up, it can't be bound to the device and can be stolen.
There is one way to get both, which I assume Google is offering here: Have the key inaccessible to the user of the device, but allow some cloud provider access, so it can be automatically backed up to the cloud.
That's all fine and good, but now you're dependent on the cloud provider not playing games with you. And you still have to authenticate to the cloud provider in some way, e.g. to add a new device. (And have to do that in a way that someone who stole your phone couldn't just do the same)
> The other thing to consider is what your threat model is. If you're worried about someone stealing your phone and building a realistic model of your fingerprint or scan of your facial structure, you have to ask what the alternatives are. For example, it'd be a LOT easier for an attacker to use a hidden camera or drone to record you entering your password
You can also view this from a different angle: Phones get lost all the time, sometimes stolen. It's statistically not that unlikely that your phone will get lost at some point and the people who find it may not always have the best intentions.
If a phone is in the wrong hands, it's much easier to gain access to the phone using fingerprints than it is using passwords: There is a good chance some usable fingerprints from you are still on the device cover itself. Sure, an attacker would need some resources to take the fingerprints and build something that can be used with the phone's sensor, but if enough people use fingerprints for auth, attackers will streamline this step quickly.
That's bad enough if it grants "only" access to the phone itself, but now it would also grant the attacker access to each and every online account.
Sure, you could race to deactivate keys - if you remembered to setup alternative login methods before, because otherwise it's you now who cannot login anymore.