This seems to work for me...

It checks for the panel name and if it isn't "AnyFakePanelName" it hides the mouse...

Code:
 local MouseCheck = NetRemote.GetVariable('NR.PanelName');
 if (panel == 'AnyFakePanelName') then
  NetRemote.GetScreen().ShowCursor(true); else
  NetRemote.GetScreen().ShowCursor(false);
 end;
You can change the line if (panel == 'AnyFakePanelName') then to a real panel name, i.e. 'Other' to only show the mouse on your panel called 'Other'