There is nothing wrong with being skeptical, I just think your objections are out of place. If you are really concerned then it's probably best not to use Android or iOS at all, who knows what data might be shared with the government without your knowing? This spec (or any app built on top of this spec) doesn't really change anything about that.

Edit: I wasn't downvoting you, and the link was the source for the summary for the privacy considerations. The details are in the actual spec.