After 2023.10.10, Microsoft 365 servers no longer maintain OneNote 2016 connections
https://www.onenotegem.com/a/faq/win-office-onenote/2023/0905/onenote2016-not-support-connect-to-ms365.html
Some changes to shared notebooks later cause OneNote 2016 to crash.
This update fixes an issue in which OneNote 2016 closes unexpectedly when it synchronizes certain notebooks that are shared from more recent versions of OneNote. After you install this update, the notebooks can be synchronized successfully.
Download update 5002500 for 32-bit version of OneNote 2016
https://www.microsoft.com/download/details.aspx?familyid=6b794c87-568c-4417-9ec7-d8a9c1c17a47
Download update 5002500 for 64-bit version of OneNote 2016
https://www.microsoft.com/download/details.aspx?familyid=2f38ba8d-a312-4d12-8d5a-6c76d3d521b4