As I mentioned in my previous reply, the folder where you want to save cannot serve as a Templates folder. So Word will not automatically save the file there, even though you set the option to point here. Yes, you can change the template folder location. No, you cannot make it any arbitrary folder on your computer. As an example, I tried making my C:/Windows folder a templates folder. That doesn't work either.
John,
You can designate just about any folder a templates folder, User Templates or Workgroup Templates. I suspect, though, that the Windows folder on your C: drive is reserved.
I have both of mine as well as my Startup Folder in folders on my computer that are synced to DropBox. The same thing would work for OneDrive. I have designated by default save location for custom templates to be the same folder as my User Templates folder. See The Distinction between the User Templates Folder and the Default Personal Templates Folder Word - 2013 and later.
The folder that working [Quick] Style Sets are in is different though,
As far as I know, this folder cannot be set by the user, certainly not in the user interface. (There may be a Registry entry; I do not know.)
Word 2007 & Later Key Data File Locations
Location: The English-language built-in quick style sets for Word 2007 should be in the folder:
C:\Program Files (x86)\Microsoft Office*Office12*\1033\QuickStyles ("1033" refers to US English). Word 2010: Office14 instead of Office12. Word 2013: Office15 instead of Office12. Office 16+:
C:\Program Files (x86)\Microsoft Office*root*\Office16\1033\QuickStyles
If you are running 64 bit Office on 64 bit Windows (or 32 bit Office on 32 bit Windows), the program files folder will be called Program Files (without "(x86)").
Your custom quick style sets (those you create) are located in a completely different location. That folder will depend on your operating system.
These custom files are in the following folders:
Windows XP Location:
c:\Documents and Settings{your username}\Application Data\Microsoft\QuickStyles\
Windows Vista & 7-11 Location:
c:\Users{your username}\AppData\Roaming\Microsoft\QuickStyles\
These are hidden system folders. If your Start menu has a search function searching for %APPDATA% will lead you toward the correct folder.