I was actually thinking the Logitech looked better in all but the strong backlight scenario. Granted, Logitech's improvement seems to be at the expense of over exposed areas in the background, but that isn't the focus. The Microsoft camera, on the other hand, seems have harsh shadows in the foreground where the main focus is.
I think the Logitech looks better except on the backlit image at the end. If you look at the image from the Microsoft camera the blue building on the upper right background shows two sides and the inside wall on the left has very even lighting. In the image taken with the Logitech camera, the blue building on the upper right background has half the building washed out plus the inside wall to the left has a distinct shadow. It appears as if the Microsoft camera was used when it was overcast outside and the Logitech camera was used when it was sunny in the background. The increase in brightness in the background appears to be causing the Logitech camera to overcompensate. It does not appear to be the same lighting conditions in the two images.