Usually only printers with a local port will display to all users. (in example with a tcp/ip port), thus I would check why the behavior is not the same for you on your server, I would think that those users are in the local admin group or in the print operator group.
In a extreme way to resolve your issue;
Prevent by GPO to add any printers and deploy by GPO the needed printer ?
Option 1:
In Group Policy editor, expand the following folders: User Configuration, Administrative Templates, Control Panel, and Printers. (see there)
Disable the addition of printers:Prevents users from using familiar methods to add local and network printers. This policy removes the Add Printer wizard from the Start menu and from the Printers folder in Control Panel. Also, users cannot add printers by dragging a printer icon to the Printers folder. If they try to use this method, a message appears that explains that the action is disabled by a policy.
Option 2:
You can configure point and print restriction too, to restrict which the user can add or not. You need to enable the settings, see there for a explanation. Description of the Point and Print Restrictions policy setting
If the driver is not listed it will prevent the printqueue to install with the above setting;
Policy setting: Prevent Users from Installing Printer Drivers Location: Computer Configuration\Windows Settings\Security Settings\Local Policies\Security Options
