All three cameras are certainly very good compacts, but their sensors might well already be pushed to their limits. The homogeneity of the results measured for all three competitors tends to indicate this.
Moreover, for the same price today one can get a small-body camera, be it four-thirds or APS-C sized, that includes a much bigger sensor. Oh yes, these cameras are a little bit bigger. But the increase in image quality is noticeable.
So one has to make a choice: if only the physical size of the camera matters, these compact cameras are absolutely fine. If image quality is included in the equation, however, the better sensor size-to-quality ratio of EVIL (Electronic Viewfinder with Interchangeable Lenses) products make a difference.
To provide photographers with a broader perspective about mobiles, lenses and cameras, here are links to articles, reviews, and analyses of photographic equipment produced by DxOMark, renown websites, magazines or blogs.