A family of Microsoft products that enable users to capture, organize, and reuse notes electronically.
This is not possible the way you want it. Only options I can see are:
Use two different OneNote versions. On Windows 10 there is the Onenote App with reduced functionality, maybe good enough to edit your personal notebook with it and use OneNote 2016 for the business notes.
Or you think of closing the notebook in OneNote 2016 every time before you close the program and reopen that (or the other notebook) after the next OneNote start. Biggest disadvantage: The notebook has to be synchronized (fully downloaded from OneDrive) every time.