'Jade Star' is a cultivar name that was "Recognized" by AHS, not Reserved. The latter expire after a few years, but Recognized names are valid and don't expire.
For a period of years, AHS did the right thing and included valid cultivar names in its checklists without officially registering them, provided proof of publication was sent to AHS. It designated these as "Recognized". This had the same effect as registration insofar as protecting the name from duplicate use. But these cultivars were not eligible for AHS awards nor for exhibition in AHS accredited shows. This was allowable by the ISHS because AHS shows were unrelated to the general purpose of cultivar names.
When AHS raised its registration fee to a new high, some hybridizers complained loudly. Steve Moldovan even refused to register some of his. But he supplied his catalogs to AHS to validate the names. AHS then recognized them.
Eventually other hybridizers complained that Moldovan and others were getting "free" names. This was an invalid complaint because no one was ever required to register a daylily with AHS to "get" a name. But AHS gave in and stopped publishing Recognized names.
This was a loss to the purpose of registration and checklists - to maintain records of all valid cultivar names. But daylilies were being hybridized, named, and introduced at a frantic rate. AHS did not have a full time professionally trained registrar. The job was too big but it seems unlikely ISHS wanted to take it back! So now it is what it is - a complete record of all valid daylily cultivar names does not exist, even though that is supposed to be a duty of a Registration Authority. There are of course thousands of invalid "garden names" in addition, which AHS has tried to discourage but amateurs do not understand the reasons for the rules. It's definitely "buyer beware"!