I confirmed two things compared to my stock VZW Note 4: Both the GPU and radios drain more battery than the Note 4 and radio reception is virtually the same dBm in the same areas.
The GPU strains with any content that is actually 1440p. Not referring to straight video playback, but apps actually using the GPU for data calculations for output. VR apps are ten degrees hotter and the battery drains three times faster with apps such as Cmoar Cinema. The Pure drains fast and gets WTH hot and tops over 120 degrees. True 1440p video though does get the device a lot warmer than the Note 4.
The data radios also drain more battery than the Note 4, but does not get the device hot. It just chugs battery in weak signal areas and the device gets warm. All 3G and LTE radios do drain more battery, but the Pure drains battery Samsung S3 level bad in weak areas.
I think those two issues are heavy weighted and explain the big differences in user battery life. Catch is even light users can get slammed battery-wise if in weak areas. Not as profound as the GPU issue, but overly high draining none the less. My wife's Razr HD and son's DNA both get better signal reception and better battery life in weak areas.
The data radio is such a drainer I just turn that off if no decent signal. Seems both the data radio and the GPU on this device need some taming. That said, the data radios tend to be as-is and more antenna and attenuation dependent. The GPU can be tamed if Motorola deems it a "worthy" update.