The first image is a good example, but the seconds is not. The second is shot @f/3.5 & 23mm (44.5mm equiv). The RX100 can shoot at 16mm (43mm equiv) @ f/3.2. That makes an equiv aperture (for evaluating DOF) of f/6.7 for the Canon and f/8.6 for the Sony. As that is less than a 2/3EV difference, you would not even be able to tell the variance between the two.
And to add another point: the XZ-1/2 mentioned previously in this thread would have an equivalent aperture of about f/9.3 at 43mm equiv., slightly worse than the Sony and about 1 stop worse than the Canon. So even the small sensor XZ-1/2 can get a result that is pretty close.
Another thing to notice is that some smaller cameras perform better full open, which can make it more attractive to use the camera wide open compared to G1X II which has more compromised corners until stopped down 1-2 stops.
So I agree with the point: at WA to normal focal length the advantage of the G1X II in DOF control is relatively small in practice. If you really want to use selective DOF (for subjects at normal distances, not closeups) you have to use the tele end of the range. Only there the difference with most other compacts becomes quite significant. This is nice for certain portrait type shots, but not suitable for everything.