thos locations are stored in the registry, and not in any table, or as a property of a server, as far as i know.

...how are you getting them via powershell?

i get them via a TSQL like this:

EXECUTE [master].dbo.xp_instance_regread N'HKEY_LOCAL_MACHINE',

N'SOFTWARE\Microsoft\MSSQLServer\MSSQLServer',

N'BackupDirectory';

EXECUTE [master].dbo.xp_instance_regread N'HKEY_LOCAL_MACHINE',

N'SOFTWARE\Microsoft\MSSQLServer\MSSQLServer',

N'DefaultData';

EXECUTE [master].dbo.xp_instance_regread N'HKEY_LOCAL_MACHINE',

N'SOFTWARE\Microsoft\MSSQLServer\MSSQLServer',

N'DefaultLog';