@Greg Azar , For the administrative template policy, it is for Microsoft Office 2016. Firstly, please ensure the office on windows machines are all with this version.
If it is, then we can configure the "Block signing into Office" as "Org ID only" which means users can sign in only by using the user ID assigned by your organization for accessing Office 365. like usera@m365xxxx.onmicrosoft,com.
For the "None allowed", I think it means users cannot sign in using either Microsoft account or organization user id.
In addition, in the note, it seems to be with licensing. which has nothing to do with Intune. We can use Product key or the user account to activate the office. But it will not affect the signed in state of Office. mentioned above.
Hope it can help.
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