Earlier quoted context omitted.
So, let's say your worst fears are true, and it's sending up a log of every app you use. What happens then? What's the harm? I'm not being rhetorical, I really don't follow what the fear is here. I can't imagine how my life would be any different if some company knows that I launched chrome at 12:22, then hangouts at 12:30, then some half-assed game at 12:35.
Just because its fun to play "worst case scenario"... An actuary finds a link between late night cell phone usage and mental illness X. They determine that given your cell phone usage pattern, you have an 50% chance of illness X. Such information is sold to insurance companies, employment background check companies, yada yada
If not, then I think there should be so apps that simply want to use aggregated data will be allowed and will be guaranteed to be safe.