Office will fail to activate because Microsoft sets the KMS server in the registry which overrides any method of finding the on-prem kms.
You can deploy a reg to remove these settings. I don't know how that's going to play with the multi-user version but might be ok...
Windows Registry Editor Version 5.00 [HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows NT\CurrentVersion\SoftwareProtectionPlatform] "KeyManagementServiceName"=- "KeyManagementServiceListeningPort"=-