Yes, it could be worse, so Carrier is better then Affected….. and you are right, it is really NOT that bad!
In regards to Arwen, even if her papers were not sent in, you listed her (what would be registered name/sire/dam) for the data base, right? So the only thing that is missing is the AKC number. Honestly, most time I seach by the name or part of the name.