I don't have the e, but based on what you read and etc. results are/can be the same.
14-24 on the D800, at first was a disappointment to me, mainly based on all the reviews over the years that state how good this lens is wide open. It may be great on 12mp to 24mp Nikon's but at 36mp you can forget F2.8 to about F5 if you want corner to corner, it's just not able to resolve to the sensor. I had high hopes on this lens for my night work, where I need F2.8 to F3.5, but not going to happen. In fact at F2.8 to F3.5 you can actually see detail smearing, similar to what happens with a medium format back, and you have shifted outside the range of the image circle. You don't see the saturation loss that you get with a tech camera and dig. back, but you see the detail smearing.
Once you get to around F5.6 the results get much better and at F8 to F12 the lens is (at least the one I have) is stellar, sharp corner to corner and with excellent contrast and saturation. I feel that diffraction starts to show at F14 and is very evident at F16 and above. CA is nominal and LR will correct it totally or Capture one which ever you use.
This is pretty much true throughout the entire zoom range for me. I worked with 3 different lenses until I found the one I have now. It was a demo lens, both of the brand new ones had issues. I also spent some time on the microadjustment of the AF which helped a lot.
I had less luck with the 14mm F2.8, but as it's an older design, I didn't expect much with it, still had to try.
Not sure what lens solution will give me the sharpness I am looking for in the F2.8 to F4 range, may have to try the Zeiss 21 or 18mm, but the 18mm seems to have a very bad flare issue (won't bother me for night work, but need to be able to use whichever lens for day time also, at the price point)
Paul