I assume the computer is part of a domain? If so it would be grayed out due to a group Policy. Finding which admin created policy contains the restriction may be a little time consuming. The first step would be to run GPresult on the PC to see what policies are being applied. Then review these policies, using the Group Policy Management Console on the server, to see which is using the policies in the following group to create the restriction:
Computer Configuration | Administrative Templates | Network | Offline Files
You may want to control the actual definition of a "slow connection" by using the following policy
Computer Configuration | Administrative Templates | System | Group Policy | Group Policy slow link detection