The resolution of cloned monitor can be changed, please read my post above. The utility DisableMonitor, https://github.com/Eun/DisableMonitor does the work.
And I was able to change my resolution through SwitchResX (http://www.madrau.com/). When I plug in my DL device, it automatically changes to 4K resolution (which is unreadable on my laptop) and clones it perfectly to the connected monitor.