You're confusing the technology used in Jones with the principle Carpenter cited it for: a person can have a 4A privacy interest in the whole of their physical movements, including movements in public.
You seem to be under the impression that the opinion of the court in the Jones was that everyone's public movements are private and the police need a warrant to track your public movements through and any all means. But that was not the decision of the court. The police and still just follow you, Jones notwithstanding.
You can desire your public movements to be protected by the Fourth amendment all you want, but that does not make it so.
And maybe it wasn't the decision in Jones, but Carpenter specifically cites Alito's concurrence for the proposition that a person has a 4A privacy interest in aggregation of movement data and describes GPS tracking in Jones as raising those privacy concerns.