For competent PC repair, when PC cannot boot
You don't read un-allocated space. It's because it's pointless. Even if the customer accidentally delete say system folder and purged it. Recovering all the folder's content from un-allocated space doesn't guarantee it fully work, especially when names, file path and settings are all messed up.
The only time you read un-allocated space is when you need to recover lost files, which clearly wasn't this customer request. Greek Squad here obviously aren't doing their PC repairing job, and were specify looking for stuff for fbi.