After a couple days of testing (it did indeed took me 2 days to kill my phone) I figured that for whatever reason, on the Pixel (maybe exynos) lowering the render res does indeed save some battery. On 1080p I managed to get around 1%/h - 2%/h less consumption on Screen on Time, which for people like me who manage to get 5+ hours of screen on time can result in quite of a difference. I regularly end days with something between 30-40% battery, which is still really good but I won't go to a second day as the 2 hours charge time is really annoying me

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With the lower resolution I ended the first day with 57% and I ended up with 37.5 hours of standby and 8 hours and 40 min of SoT in a full charge. I even went further by reducing the resolution to 720p, but it is really obvious that Google never made a 720p phone - almost all UI's broke and even changing the brightness was a hassle. I also believe that it might have triggered some rouge process as my phone lost 10% battery in less than an hour, so I switched back to my original 1440p.
To conclude this - is changing your resolution to 1080p worth the broken finger print - depends. In my example, I would probably do it if I know I am going on a trip where lots of pics/videos will be taken and heavy navigation use, as my phone is more of a tool in cases like that and I always try to squeeze every bit of battery I can. If google does implement the ability to change the res though - I would definitely switch.
I just wonder, why does it made such a big difference on this phone, but it didnt for S10(the only battery test I found on a video). Is Android 12 harder to drive? Or are these LTPO panels more intense on the GPU? Or is it even exynos/mali GPU not as efficient as SD on rendering UIs? If anyone wants to chime in - Id' be glad to hear some opinions. ( Or maybe I just used my phone less.. that would be the worst

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P.S. Just to say this was done on 60hz and that your milage might vary, if you decide to try. Everyone's usage is different and in my case I work from home - so WiFi connection (although router is far) but horrible signal, as I am a top flat in the UK (worst case scenario). The setting I used for the adb command is 1080x2340 and denstity was 400, although density is preference I guess and I believe wont affect battery.