I've just picked up a YubiKey.
However, the demo Yubico redirect you to is served over plain HTTP, over which each OTP you generate during the demo is POSTed, enabling you to verify that your key is working properly. The first group of characters of each OTP is a static public identifier of the key.
As services such as LastPass use the static identifier in order to encrypt your password vault for offline use, is it a good choice for LastPass to use the public identifier since Yubico treat this as public knowledge?