Support for Outlook 2000 was dropped with Exchange 2007, Exchange 2010 only supports Outlook 2003 (post SP2). In the diagram below you can see this server is performing public folder AND web based distribution, this is probably because you ticked this box when you installed the product.
Exchange 2013 only supports Outlook 2007 (post SP3 and cumulative update), and Outlook 2010 must be at SP1 with cumulative update. For public folder distribution ensure the public folder database is mounted, and at least one server holds a replica.
Also in the properties of the mailbox database, your users are using, make sure it points to the correct public folder database.
I created a new OAB with both distribution methods this morning.
In Cached Exchange Mode, Outlook 2007 & 2010 downloads a local copy of the Global Address List (GAL), but only updates it every 24 hours.
In order to reflect any changes or updates made to the Global Address List, you can force Outlook to download a new copy of the GAL.
By default in Exchange Online, the Address List role isn’t assigned to any role groups.
To use any cmdlets that require the Address List role, you need to add the role to a role group.