@ArchiMe,Thanks for posting in Q&A.
From your description, I know that the device failed to sync with Intune and computer became non-compliant due to policy.
To clarify this issue, please check things below:
1.Check if there exist Conditional Access blocking non-compliant device sync with Intune.
2.The non-compliant device may have issue syncing with Intune. Please unassign the compliance policy and try to sync with Intune.
3.Please provide us computer scheduled failed message.
4.Please check if exist related message in Event Viewer > Applications and Services log > Microsoft > Windows > DeviceManagement-Enterprise-Diagnostics-Provider > Admin
5.Go to Intune admin center and check Compliance policy settings.
6.The dmwappushservice service is required on client devices for Intune management. If this service is disabled, the device can't sync with Intune. Check whether the dmwappushservice service Startup type is Automatic.
Please check above information, if there is any update, feel free to contact me.
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