S O L V E D ! ! !
In my case I had an EFI System Partition hidden on my HDD that was being read by the PS4, and AppToUSB instead of my Main Partition, so Deleting this EFI Partition on my HDD (Unallocating It) fixed the issue I was having, and allowed me to save the Game to my HDD without any Corruption Errors
I'd highly suggest going through the comments below if you're having a similar issue as the fix I ran into might not work for you, but there's other possible fixes...
[HELP] AppToUSB 'Cannot Start the Application' ERROR
In my case I had an EFI System Partition hidden on my HDD that was being read by the PS4, and AppToUSB instead of my Main Partition, so Deleting this EFI Partition on my HDD (Unallocating It) fixed the issue I was having, and allowed me to save the Game to my HDD without any Corruption Errors
I'd highly suggest going through the comments below if you're having a similar issue as the fix I ran into might not work for you, but there's other possible fixes...
[HELP] AppToUSB 'Cannot Start the Application' ERROR