You would because there'll be context:
1- You'd be in a page where you'll be enrolling your YubiKey or WebAuthn device. You'll be having your key at hand, or recently plugged in.
2- Your device's LED would be flashing, and you'll be pressing to the button on your device.
3- The warning will pop-up at that moment, asking that question to you. This means the website probably querying for something like the serial number of your key, which increases the security, but reduces your privacy.
With the context at hand, you'd understand that instantly, because the place you are and the thing you're doing perfectly completes the picture, and you're in control of every step during the procedure.
> probably querying for ...
Exactly. You need to infer that, it isn't stated directly.
Same like you need to guess, that "Unable to connect" means connection refused, while "We can’t connect to the server at a" means the DNS request failed. Or does it mean no route to host? Network is unreachable?
I would argue, that (sometimes) the user would be fine to distinguish whether he wants to approve something, but can't because both dialogs state the same wishy-washy message. Even non-technical users (might) eventually learn the proper terms, but they can't if they only get shown meaningless statements.