The test was done fairly informally, but in the video below, you can see the difference that was found was quite obvious. The video compares Vine, Instagram without stabilization (aka what Android users will get), Instagram with Cinema stabilization (aka what iOS users get), and the same video after being processed in Adobe Premiere.
In this test at least, Cinema was clearly better. And, even more impressive is that Adobe Premiere took about 1 minute to process the 15 second video, while Cinema processes your video in real time, and can be turned on or off as you are recording. By default it is turned on.
Words cannot express how much we want to see this feature extended to Android.