I think that the concept of a fixed lens camera works best with a zoom because there is more space saving potential compared to a prime. For instance, compare the Canon G1X to any Micro 4/3 camera with a zom lens. The only m4/3 lens that comes close to matching the depth of the Canon is the Panasonic collapsible 14-42mm X zoom, but that lens has proven to be quite problematic. The older Panasonic 14-45mm comes closest to the Canon for sharpness but isn't a 4x zoom and isn't as bright at the wide end (f/3.5 vs f/2.8). The Canon does all this with a larger sensor as well.
The question is, would you prefer the lens to be as compact as possible and slow, or larger and brighter? On the 4/3 sensor, I would be interested in the latter if it was in the region of f/2.8-4. There is also the possibility of using the Sony 1" sensor but I would only see that as a decent option if it had an even faster lens on it, say f/2-2.8 or better.