Which process involves setting up a new file system but does not ensure original data is non-recoverable?

The process that involves setting up a new file system but does not ensure that original data is non-recoverable is the Quick Format. When performing a Quick Format, the operating system merely marks the space on the disk as available for new data and resets the file system structure. However, it does not overwrite the data that exists on the disk, which means that the original data can potentially be recovered using specialized data recovery tools.

This is in contrast to processes such as crypto erase, where encryption keys are deleted, making the data effectively unreadable. A purge would involve removing data in such a way that it cannot be recovered, while disk defragmentation reorganizes existing data for better performance but does not alter or secure the data itself. Therefore, Quick Format is the process that prepares a file system while leaving original data potentially recoverable, making it the correct choice in this context.