This might not surprise, but it is interesting to have it confirmed. The FBI can track your travelling through the Sabre booking system, in real time. Given that this one example has been outed, it would be reasonable to expect that the other two major systems, Amadeus and Travelport, also do as they are told.
The rule of thumb is this – unless you explicitly are certain you cannot be tracked, you might be. That means your car, your hire car, public transport with a registered card, all forms of bookable travel, anything you use a credit card for, any surveillance camera…
Use cash, wear a face covering, and walk/cycle/scooter/steal a car – if you don’t want your movements traced.
