The device could keep a daily count of interesting actions, and sync that to analytics servers on a daily or weekly basis. That preserves 95% of legitimate use cases while leaking much less private data (like how my reading habits are distributed across the day)
I mean, you're still collecting most of the problematic data. And you might legitimately be interested in what you're leaving out - knowing time of day that people do things is actually important for plenty of use cases.
