With DVR the reason they went with 720P is primarily to keep file sizes manageable. At 1080P, a heavily compressed video will still clock in at 2-4GB per hour, with blu-ray quality video at 10-15GB per hour including video. Not only does using 720P mean a reduced impact on hard drive compacity, it means sharing videos online won't be so catastrophic on those with reduced internet capabilities. There is bound to eventually be a user setting to increase this, but initially it will be 720P. Many of these design choices are software based and easily changed later, which makes me wonder why people use them as counterpoint.
Neither console has a hardware configuration that is awe inspiring, especially when compared to what is already mainstream in the computing world. People like to use mathematically disparity to compare them, but when you add them to the pool of affordable hardware already in circulation, you have a mid-level machine being compared with a slightly faster mid-level machine, neither of which is really all that glamarous. At least when the PS3 had the Cell processor there was fancy tech to brag about, but now we have two boring X86 consoles differentiated primarily by the way they look and the way they get things done. Much like a PC and iMac. They use the same parts with small variance; just they have different operating systems and available software.
The truth of the matter is that while both the PS3 and 360 did 1080P in some capacities, both systems were designed around 720P. The Xbox One and PS4 are basically going to do exactly the same thing the 360 and PS3 did, except better. Anyone who expecting some awe inspiring leap in their gaming experience should seriously reconsider what they hope to get out of it. Otherwise, there will be disappointment and buyer's remorse, regardless of which console you buy. There will definitely be more 1080P gaming overall, but both companies purposely chose efficiency and cost control over power this time around.