Yubico or really any other manufacturer could totally e.g. release "Yubikey pairs", both a stateless CTAP2 implementation with the same root secret, that would correspondingly work at the same sites without having to synchronize anything.
The reason they probably don't is that their entire trust model heavily depends on the perception that nobody, including the manufacturer, has a "reserve key" to any given Yubikey, even though of course the absence of such "linked keys" doesn't demonstrate the absence of any such backdoor.
To be clear, I don't have any reason to believe Yubico does this, but it would probably be a harder story to tell, marketing-wise, if they sometimes selectively did, even if it's for a valid use case.