In the Manage Draw Payments screen there is a column called Pending Authorization. Depending when that tasks was done, depends on what payment cycle or period that the contractor will be paid. If a date was captured in addition to the dollar value shown, then there would be traceability. Also, speaking of traceability, I can't see where you can look to see who authorized the payment either.
If you hovered over the cell and it provided additional information, like the date and authorizer, that would be extremely helpful when troubleshooting tardy contractor payments.