DameWare Remote Support does not directly contact systems in the Microsoft Windows Network list in the Network Browser pane to update their status icons. This is because there should already be enough information available directly within Microsoft's Windows Network Browser itself. So the icons & tool tips for systems listed in the Network Browser pane, as well as the categories they are placed into, only reflects what information is available directly within Microsoft's Windows Network Browser. Remote Support retrieves this information by asking your local system for its Microsoft Windows Network Browser, and then displays the information according to the OS returns. Remote Support does not modify this information in any way.
With regard to Computers, Remote Support provides a list of all Domain Members directly from the Security Account Manager (SAM) database. The database could, however, list systems that are not currently online or do not even exist. In the latter case, non-existent systems will continue to show up until you manually delete the related computer account on the Domain.
On the other hand, Remote Support does attempt to directly contact the systems in the Active Directory and Favorite Machines lists to update their icons. To do this, Remote Support requests a NULL connection to the remote system, and then asks the OS to execute standard Microsoft Windows Network management API calls to retrieve the necessary information. The Microsoft Windows API call that Remote Support uses to contact these remote machines is called NetServerGetInfo. Remote Support changes the icon and tooltip accordingly.
Red (or Blue with the Red "Prohibited" sign) icons represent remote systems that have not been contacted yet, or could not be contacted. See System requirements.
Green icons represent remote systems running Terminal Services.
If you feel your icons are not being displayed properly, then you may also want to check Remote Support's Information pane for any errors encountered when contacting the affected systems.