If you don't trust us to respect your privacy why are you trusting us to download and run code from the internet on your machine?
We need analytics to effectively run the Homebrew project (as you've noted: we are volunteers). If you no longer trust our project: go use something else.
I can't on yours (or Google's).
EDIT: I'm sorry, was there something factually wrong with this statement to warrant downvoting it into oblivion?