Could they just release it all under CC and let the world worry about distributing it? If you're going to the trouble of making things available to the public, why set yourself up for hassles like this? Just release all control of it and be done.
https://www.reddit.com/r/DataHoarder/comments/5xqnc6/uc_berk...
Public institutions are required to abide by ADA when they release things to the public.
Deleting the videos is unfortunate, but there's really no good excuse and they should have foreseen this. The MIT OpenCourseWare videos, for example, all have real (not generated) closed captions.