FWIW ... A couple of days ago a coworker called me from home with a similar 'faint moving horizontal lines' problem on a new 23-24" LG monitor connected via VGA to an aging HP laptop. I told him to bring it in to the office and I'd take a look. Tried different resolutions, (factory default is 1920x1080), brightness, contrast, sharpness, Hz, etc., most everything in the OSD menu. Even tried a different circuit (power source), moving it further from the laptop, the other side of the laptop, powering down other close by office equipment, a clamp-on ferrite core, you name it. He was ready to give up and take it back to CompUSA when I said hang on a sec., let's try it on another computer. Connected it to an old HP desktop and Bingo, the 'faint moving horizontal lines' were gone.

IOW, the problem is NOT the new monitor, it's being broadcast through the laptop's VGA port out onto the new monitor.