How safe is Bluetooth really? Cities has scanners used to track devices for monitoring road congestion, malls have scanners to measure foot traffic. I have to believe that anyone with access to stingray type of device can track Bluetooth as well.
So yeah, they'd be able to say that "person A was at location B and later C", but not necessarily the way there or after/before those specific locations.
I agree that the safest is to assume they can definitely track you no matter what protocol/antenna you use, so you have to chose what moment it's OK to be tracked (like large groups).