Good review on multiple parts (I think your camera comparisson was mostly fair if a bit limited and points out the strengths and weaknesses of Note 4 vs iPhone).
I am a bit skeptical about a couple other areas however:
1) Brightness
You say it hit 318 nits brightness
Display Mate is my choice reference here:
http
/www.displaymate.com/Galaxy_Note4_ShootOut_1.htm#Brightness_Contrast
In manual brightness mode they saw (in adaptive display screen mode the default mode):
Average: 382
Full: 350
Peak: 445
Auto Mode: 478-750
Compared to iPhone 6 Plus
http
/www.displaymate.com/iPhone6_ShootOut.htm#Brightness_Contrast
Average: 566
Full: 566
Peak: 566
Auto: 566
So yes, one of the benefits of an LCD (one of the few benefits over AMOLED) is better and more constent brightness; however display mate got ratings for the Note 4 higher than yours and their peak was 445 which is actually pretty good... Then in auto mode it goes up to 750 far higher than the iPhone can go. I could understand a critique since it's not a manual option though that's obviously to benefit users from not leaving brightness at some ridiculously high rating and killing their batter (not sure if I woudn't still like the option but you should show the full picture).
So was your 318 in the Adaptive mode? Was it an average rating, peak, low, etc? Did you take enough of a sample to get average and peak values?
Since your results differ so much from someone like display mate I would suggesting looking at your testing procedures
2) Battery life
Your battery test seems a bit limited and cattered towards the strengths of LCD screens (and weakness of AMOLED) and towards only a single user's use case.
http
/www.displaymate.com/iPhone6_ShootOut.htm#Display_Power
"For mixed image content (that includes photos, videos, and movies, for example) with a typical 50 percent Average Picture Level,
the latest OLED Galaxy Note 4 display is 21 percent more efficient than the iPhone 6 and 6 Plus displays. On the other hand, for a
Full White Screen the iPhone 6 and 6 Plus are 45 percent more display power efficient than the latest OLED Galaxy Note 4 display."
This means that iPhone 6 with LCD is probably 20 percent or so more efficient than the Note 4's AMOLED on high white level content such as browser pages (considering they're 45 percent more efficient in a full white screen) and the Note 4 is about 20 percent more efficient with mixed image content such as photos videos and movies.
This is why it's important to battery test more than just browsers, especially considering people won't just look at a browser and even if they do they'll probably watch videos etc.
That's purely display mate's look at the screens too, while the Note 4 has a bigger battery, this is why more sites that do comprehensive tests are finding the Note 4 has a better battery life than the iPhone 6 Plus (though it does weakest in web browsing tests)
3) Color accuracy
You say:
"On our lab tests using a colorimeter, the Galaxy Note 4 produced 163 percent of the sRGB color gamut. Samsung's AMOLED displays tend to produce oversaturated hues, so that high number isn't a surprise. The iPhone 6 Plus registered 95 percent on the same test. It was a similar story with color accuracy, with the Note 4 achieving a Delta-E rating of 4.2 (closer to 0 is best) and the iPhone 6 Plus a 1.9."
Again I'll refer to the display mate in-depth analysis:
http
/www.displaymate.com/Galaxy_Note4_ShootOut_1.htm#Colors_Intensities
I'm guessing you left the note 4 in the Adaptive Display mode which purposely has a higher color gamut and less color accuracy. Display mate found the Basic mode was the most color accurate screen for any smartphone, even compared to the iPhone.