How to reformat hdd only viewable under (About Mac) -> (System Report) -> (USB 3.0 Bus)?
I got it.  

The problem was that disk had an EFI System Partition. All the work to make the disk readable for MacOS El Capitan was done on Windows 10.
C:\Temp> diskpart
DISKPART>  select disk 1
---> clean
DISKPART>  exit  

note:
(I just noticed that Mac has /usr/sbin/diskutil that I'm sure would have allowed me to deal with the EFI Partition.)

So, I used the Windows Disk Utility to create a 1-tb xFAT partition. MacOS recognized that. Then, I reformatted that to MacOS file format, 1-tb partition. perfect.

As can be seen in the question, MacOS only recognized that disk in 1 place, in the USB device tree. Only Windows seems to have allowed me to see that EFI System Partition and then allowed me to manipulate the disk.