Question

Is there a way for the batch to not export any of the documents if one in the batch is sent to exceptions?

Answer

When the option Wait for all documents of a batch is checked, this means if any documents in the batch are not at the Export stage, it will not export any documents.  It will wait until all documents are ready at the export stage, then it will export all at once to output.  If one of the documents is at the verification stage or exception stage, then it will wait until this document gets to the export stage, then it will export all at once.  If this option is not checked, then whatever individual document gets to the export stage first, FC will automatically export that document right away.