Not Logging Game Information?

So this is perhaps far more a question about how the Battle Net client works and less that I am providing feedback.

I don’t like the fact that no matter what I do that my logs what game I played and how long ago to my friends list. Is there a way for this data not to be shared for privacy sake? Sometimes I don’t want players on my friends list knowing what I am doing and when I am doing.

Thank you!