It really is a Lite-On. I know that the coloring is different, and it only has one button instead of two, but those are just minor cosmetic changes that are common in OEM versions. Check the large picture in this Memorex brochure:
http://www.memorex.com/photo_archive/pd ... 254_SS.pdf
Note the way the front of the drawer is convex (a little bulge outwards). And note the little smile-like chunk carved out of the center of the faceplate, immediately under the drawer where the DVD-ROM label is stenciled. Also check the placement of the headphone jack, volume control, access LED, and emergency disc eject hole - all the same. And along the side of the drive you can see the cutouts in the steel case are the same. On the top, you should be able to see that the indentations in the case are the same. Even the size, with the abnormally short depth as you noted, is a unique characteristic of Lite-On's newest drives including the 166S.
Moreover, Lite-On does in fact have manufacturing plants in mainland China. My 166S, which is Lite-On branded retail product, was made in China. And, as you know with your CD-RW drive, Memorex has a history of rebranding Lite-On drives and selling them as their own.
Most importantly, check the features. The Memorex drive lists SMART-X and ABS anti-vibration system as features. Both are registered trademarks of Lite-On.
The size, the features, the country of origin, the unique ABS noise, the appearance - everything says you have a Lite-On 166S.