Yes but all else equal, lower resolution screens will have better battery life. They require dimmer backlights to achieve the same brightness level, and the graphics hardware doesn't have to work as hard (or be as powerful). For phones, resolution starts running into diminishing returns around 300ppi. The Nexus 6's 493ppi sacrifices significant battery life for practically unnoticeable resolution improvements.
Phones with larger screen's generally have better battery life than phones with smaller screens. Look at the iphone 6 vs 6+ for instance. Increasing the screen size leads to disproportionately more room for battery since most of the other components dont get bigger as the screen size does.
I agree that we are at a time when battery life should be prioritized, but I would prefer that to come from thickness. Increasing the thickness by just 25% or so would allow a much larger battery.
We're not necessarily arguing against screen size, but pixel density. That is, instead of scaling the resolution linearly with the screen size, they did that and some. So now instead of a low 400s pixel density range like the Nexus 5, the Nexus 6 sits at a de facto PPI of roughly 500.
Obviously there's a cost to this, both in battery and hardware requirements to push those extra pixels. Meanwhile nobody can detect pixels on a Nexus 5, but apparently it wasn't good enough.
And next year we'll see PPI at 500-600. I just don't get it.
As for thickness, I think the Nexus does quite well. It's about 50% thicker than the iPhone 6 which is a great number (~10mm) to be at in my opinion.
additionally, no one can seem to detect the difference in battery life between 1080p and 1440p. Without having stronger data I have to lean towards the backlight taking up enough power that the difference in cpu/gpu work makes little to no difference.
Agreed, but what "feature" does a 1080p display provide over a 720p one? The smartphone/dumbphone comparison doesn't really work - there are no new features here.
Say I forget to charge my phone during 20% of the nights. A battery that lasts a single day will fail me very often compared to a two-day battery. Not to mention that unlike "dumb" phones, the iPhone won't turn itself on automatically to wake me up in the morning.
Also, battery life is measured for "normal use". If you are draining your phone eg. by using it for directions in a friend's car without a charger, then it's suddenly more like 4 hours of battery life.