On the otherhand having your device die means without cloud backup you either lose access or whoever was relying on that 2FA needs to fall back on something else to authenticate you.

After all if I can bypass 2FA with my email whether 2FA is backed up to the cloud doesn't matter from a security standpoint.

Certainly I would agree with the assertion that opting out for providers of codes would be nice. Even if it is an auto populated checkbox based on the QR code.