The only time i found it lagging was similar to the times when both of the above lag: during particularly complex visual scenes (i.e. you're circle strafing around a target and the entire screen is constantly redrawing). I thought it was great for playing a game casually: i.e. story mode. Lots of people use that phrase as a put-down, but the system is well suited for a game like ACO where you are mostly being tactical, planning, exploring, and moving the story forward.
I think of a game like 2016 hitman: i hesitated to install 30G of it to my ps4, but if you told me i could drop into the demo/prelude in less than a minute, even at 720, it's a very appealing concept for somebody like me that plays video games the way other people watch netflix while they're eating dinner: basically whenever i have some downtime and want to dip into a story or mechanic i like for ~30 mins.