^^ This, except CDN is not a loophole they are bulshitting you.
Files are uploaded to the CDN network and for streaming are set to only be removed if the file changes, or if the client deletes/purges the file, for anyone who know how to setup streaming with a CDN.
Having your cache clear every 24 hours is a waste of resources for the CDN and the host and many CDN's charge more if your cache clears & refreshes too often.
Also the CDN forwards your DMCA to the subscriber to remove the original file.
What is the CDN refusing to remove your content? Name them here.
Here's an example from
MaxCDN
"Once the service provider receives a DMCA Complaint in proper format, they must immediately block the content from their networks. At MaxCDN, we also contact the subscriber and instruct them to delete the files from their origin."