Thanks for posting up those photos. It would be even more interesting to see them shot with 8mp resolution, that would put the 950 in its PureView, oversample mode.
Anyway, I'm not dissing the G6, it's right up there with the other big players today (Samsung, Google, IPhone). All do pretty much about the same. There has been a shift though to over sharpen the photos and that often produces a lot of artifacts and often smears away detail and it shows in the photos you took. The over sharpening is probably to make the photos appear "crisper" when viewed on the small screens of phones, but any screen much larger or zoomed in and it shows. There is also a trend to oversaturate the colors sometimes, I assume to give more pop to the photos, but sometimes at the expense of details and a natural color. That's ok, though, some people like the oversaturate look.
I'll just use one of the photos as an example, though all of them are doing the same.
Zoom in a little on the childs face and the G6 shows the effect of the oversharpening. The face has the "watercolor painted" look to it (as some here call it). The 950 looks very natural.
G6
950
In the same photo the G6 sort of crushes a lot of the subtle shades of green together as one shade. The 950 does a better job of showing those subtle differences.
G6
950
Here the G6 has smeared the details of the fence with its oversharpening. The 950 did a much better job in not smearing away so much detail.
G6
950
So again, my thoughts are not dissing the G6, it's certainly on par with the other big names, Samsung, iPhone, Google, but rather to comment on how good those Nokia Lumia were/are. Even the 950 has started following the crowd some with a little oversharpening compared to the older 808's and 1020.