But that's exactly the idea behind the blockchain, which is the heart and soul, sine qua non of Bitcoin. It's often described as "brilliant" yet it has many problems of its own (one of which is that it also serves as a "ball and chain") for escrow/verification of transactions. It doesn't do much against theft or accidental loss.
But that's the point - essentially, what you want is the "privacy, safety, convenience/freedom" (a little twist on "good, fast and cheap" trilemma) - pick two of the three!ul
Good point.