To be honest screentime has potential to be a rather interesting character. All they have to do is: make his power automatic, i.e. he has no control what he searches; make the power have no off switch (aka even when he is trying to sleep he sees the internet); make it so he sees extreme shit constantly (like mutilation, porn, guro, propaganda etc) and; write him as a character who has PTSD because of it.
Full (but old) character notes for Wildstorm Comics' The Drummer, from the cool Planetary series by Ellis. Pictures, powers, known biography, characterisation, etc..
Been there, done that.