I'm not sure what happened in this user's case - but my guess is that something happened on their machine where our backup client decided that data on the machine didn't match with what is in the DC and restarted backing up the data so that we'd have a clean copy, resulting in 13TB of data getting re-scheduled for backup.
Lose data locally, restore from local NAS
Lose data on local NAS, restore from remote NAS
Lose data on remote NAS, restore from local NAS
Not the cloud if you have a typical home internet connection
17TB is a lot to send over the wire. If you've got a residential ISP connection it'll probably take months.
You don't want to deal with cloud on a home connection, it's gonna take forever.
If you are a company, you pay for storage on S3, Google Storage, OVH or IBM Softlayer. It's great quality yet simple and moderate costs.
Companies keeping data in house pay for NetApp, NetBackup and tape hardware.