I can confirm that at 14mm there is corner softness and heavy corner vignetting when unadjusted. I do not use Nikon's Capture NX-D or Adobe RAW or Lightroom, but use Capture One Pro which does not use automatic correction, nor does it have them available for the 14-30 f4S or the 24-70 f2.8S yet - it does for the 24-70 f4S.
Adjusting for the distortion greatly removes the corner vignetting and some of the corner softness. The edges look pretty good.
My opinion of this lens is that is an extremely sharp lens, great contrast, great colour just let down at 14mm - 15/16mm by the extreme corners but they get better once you dial out the distortion, but not completely. It has hands down better than the old 16-35 f4VR, and is sharper than the old 14-24 f2.8G in all but the corners at 14mm. I think it also has better colour accuracy than the 14-24 f2.8G. It is similar in sharpness to my Tamron 15-30 f2.8 and I think that is high praise for such a small lens like this that doesn't require a bulbous front element and is so small and light.
For me it is still an excellent little lens because at the end of the day, it is rare that I shoot parallel to the ground and will then adjust for keystone in post therefore removing much of the corner issue in most images. Adjusting for distortion pretty much fixes the rest. If we know the limitations, then we can work with them to use this lens at it's best areas and that may mean taking an image at 14mm full well realising that you may need to crop a tad to maybe 15-16mm. As a travel lens it will be perfect for me and dare I say many of us and if you know how to work the lens, it is a superb 16-30, as sharp as any other lens in this range. I would have no hesitation in using it instead of my Tamron 15-30 f2.8 as I may only be giving up 1mm to it at the wide end if I really must and to save over half a kg and much bulk it is a winner.
For those of us that must have the ultimate wide angle that has less to no compromises, then we may have to wait for the 14-24 f2.8S, but it will probably only be the corners at 14 to maybe 16mm that it will be better, possibly not a real difference across the rest of the image.
Just my early opinion after reviewing a few images so far.