Sounds odd to hear any went to compost, or did you mean after pressing you had a bushel worth to compost. Other wise, why would you pick bad apples to start with? Guess you cored them before pressing, that adds to the compost.
My friend had picked the apples before giving them to us. He is an extremely busy person this time of year, so his method of picking was to put tarps down under the trees, given them a good shake, and put whatever falls into big boxes, leaving the sorting to us. So he told us and we knew there was going to be a good amount of bad apples - rotten inside and/or filled with worms.