I run a laptop hooked up to a 60inch full HD plasma.
Difference between 720p and 1080p is roughly as dramatic as DVD to HD. It is indeed huge. Sadly it is not the best laptop, so I am not able to run all games at the highest resolution unless I turn off lots of stuff. So I rather have options to high with lower res than higher res with options turned off. But you have to have impaired vision to not spot the difference between those two resolutions. Only reason to say something else when it comes to the PS4 vs Xbox one is to either have been paid a large sum by Microsoft or be an incredible fanboy refusing to accept reality.