If the notary doesn't have anything on their schedule, there is no need to check anything before accepting.
You are correct about a "preferred" group of notaries receiving the offer and someone accepting it before you ever see it. That's not something they try to hide either. It's openly admitted by the owner of SC, Mark Fleming. The way to beat that situation is to get into the preferred group yourself. After you have done 10 error free signings for Signature Closers, you move up a tier on their priority list and the number of offers you receive will jump significantly.