I've never been in the position that I've had to deal with this. Is the best you can do in this situation to pull the files and optionally republish them to a robots.txt'd path (with authn/z, too)? I can't imagine you can get it pulled from search engines very quickly...

Nothing- they are just hoping this will blow over.

My guess is that if they take down the public hosting, most clients would lose access to work they paid for and fiverr has no way to put these back behind an authorisation. It is just a public list of files, either everyone has access to your file, or do not, including you.