These things don't appear connected, but I was unable to run the SharePoint Products and Technologies Configuration Wizard while setting up Project Server 2007 on a test server.

The configuration failed with this message:

04/05/2013 11:37:29 8 INF        Creating a new farm with config db SharePoint_Config content db SharePoint_AdminContent_4e3513ab-b81e-4ec6-a369-f2d357b550a6 server brwhite4 for farm mode
04/05/2013 11:37:57 8 ERR      Task configdb has failed with an unknown exception
04/05/2013 11:37:57 8 ERR     Exception: Microsoft.SharePoint.Upgrade.SPUpgradeException: One or more types failed to load. Please refer to the upgrade log for more details.
at Microsoft.SharePoint.Upgrade.SPDelegateManager.RegisterAssembly(Assembly asm, UInt32 nOrder)
at Microsoft.SharePoint.Upgrade.SPDelegateManager.get_InitialTypeDictionary()
at Microsoft.SharePoint.Upgrade.SPDelegateManager.GetDelegateTypes(TypetpObject)
at Microsoft.SharePoint.Upgrade.SPDelegateManager.GetDelegates(Object o)
at Microsoft.SharePoint.Upgrade.SPDelegateManager.GetUpgraders(Object o)
at Microsoft.SharePoint.Upgrade.SPManager.NeedsUpgradeFalse(Object o)
at Microsoft.SharePoint.Administration.SPPersistedUpgradableObject.set_NeedsUpgrade(Booleanvalue)
at Microsoft.SharePoint.Administration.SPPersistedObject.Update()
at Microsoft.SharePoint.Administration.SPFarm.Update()
at Microsoft.SharePoint.Administration.SPConfigurationDatabase.RegisterDefaultDatabaseServices(SqlConnectionStringBuilderconnectionString)
at Microsoft.SharePoint.Administration.SPConfigurationDatabase.Provision(SqlConnectionStringBuilderconnectionString)
at Microsoft.SharePoint.Administration.SPFarm.Create(SqlConnectionStringBuilderconfigurationDatabase, SqlConnectionStringBuilder administrationContentDatabase, IdentityType identityType, String farmUser, SecureString farmPassword)
at Microsoft.SharePoint.Administration.SPFarm.Create(SqlConnectionStringBuilderconfigurationDatabase, SqlConnectionStringBuilderadministrationContentDatabase, String farmUser, SecureString farmPassword) at Microsoft.SharePoint.PostSetupConfiguration.ConfigurationDatabaseTask.CreateOrConnectConfigDb()
at Microsoft.SharePoint.PostSetupConfiguration.ConfigurationDatabaseTask.Run()
at Microsoft.SharePoint.PostSetupConfiguration.TaskThread.ExecuteTask()

The fix was to uninstall Microsoft Office Professional Plus 2010, which I had from previous testing. Who knew?

Link to "Microsoft Project Server 2007, 2010 and 2013 April 2013 CU Announcement"

SharePoint Config Wizard fails with "SPUpgradeException: One or more types failed to load."