Thanks to Mike Holmes for letting me know about this announcement from Steve Green:

“Today, I am announcing that we have identified approximately 5,000 papyri fragments and 6,500 clay objects with insufficient provenance that we are working to deliver to officials in Egypt and Iraq respectively.  As discussions with officials in Egypt and Iraq continued, we also engaged with officials in the U.S. government to determine the best way procedurally and logistically to make the deliveries, and are appreciative of their assistance.  We are working to finalize the deliveries in the near future.”

Full text here: https://www.museumofthebible.org/press/press-releases/statement-on-past-acquisitions

[[Update 27 March 2020: Wall Street Journal article with reaction from Roberta Mazza.]]