The time of the requested transfer makes no difference. If you wanted to continue running the draft, what sense did it make to continue if you didn’t have all the lists of the people in the draft?
I can bite the bullet on this draft and manage with the teams I picked up, but this is something that needs to be worked out in the future. If there are lists for a draft, the person running the draft, in this case Eric, needs to have the lists of the drafters. If a transfer of lists can not take place before the scheduled draft time, the time of the draft needs to be delayed or rescheduled until it can be properly run.