No, the only significant difference is that the trial account (that works) doesn't have as much data (accounts, domains, etc.). All test accounts here are E3-accounts.
The one that don't work has about 25 accounts, and I have migrated our onsite Exchange server and Sharepoint libraries to it. The accounts are a mix of E1 for nonprofits and E3 for nonprofits-accounts, based on the individual user's need for software.
This is what the latest entries in the OIMGettingStartedWizard.log says:
[5420] 140217.133612.9696: General: Initializing...C:\Windows\System32\Essentials\OIMGettingStartedWizard.exe
[6252] 140217.133613.7352: PfBinding: Information: [0] : Adding service dns identity [SERVER] in proxy endpoint.
[7940] 140217.133614.0165: PfBinding: Information: [0] : Adding service dns identity [SERVER] in proxy endpoint.
[3588] 140217.133614.2196: PfBinding: Information: [0] : Adding service dns identity [SERVER] in proxy endpoint.
[6680] 140217.133635.2825: GettingStartedWizard: Start O365 service
[6680] 140217.133635.3294: WssgCommon: Information: [0] : WseEmailSvc is already in the desired state.
[4268] 140217.134136.4603: O365Manager: TResult : Boolean, args : Microsoft.WindowsServerSolutions.Common.ProviderFramework.OperationInvokeEventArgs`1[System.Boolean]
[4268] 140217.134136.4603: O365Manager: actualArgs : Microsoft.WindowsServerSolutions.Common.ProviderFramework.OperationInvokeEventArgs`1[System.Boolean]
[8156] 140217.134136.4759: GettingStartedWizard: error page exception : Microsoft.WindowsServerSolutions.Common.ProviderFramework.OperationInvokeException: Failed to invoke <ActivateAAD>b__c ---> System.TimeoutException: ActivateAAD:0ea995af-7596-4fa6-aa82-36cfcef1dfa0
gets timeout.
--- End of inner exception stack trace ---
at Microsoft.WindowsServerSolutions.Common.ProviderFramework.ObjectModelBaseExtended`1.SyncWrapper[T](Action`1 act)
at Microsoft.WindowsServerSolutions.O365Integration.OIMWizards.GettingStartedWizard.<>c__DisplayClass8.<BeginStartO365Service>b__5(O365Manager o365Man)
at Microsoft.WindowsServerSolutions.O365Integration.OIMWizards.GettingStartedWizard.<>c__DisplayClasse.<BeginConfigure>b__d(Object state)
[5420] 140217.134149.4606: GettingStartedWizard: RebootOrRestartDashboardIfNecessary with restart flag is False