Standing after Pringle

In Maryland v. Pringle (No. 02-809), the Supreme Court held that a police officer may arrest every occupant of a car if the officer finds illegal drugs in that car and none admit to owning the drugs.

Shouldn't this mean that each occupant of a car now has standing to challenge the lawfulness of a search of the car in which they ride? If each occupant of the car can be held liable for the contents of the car, then can't we fairly say that each occupant has a concomitant privacy interest in a vehicle's contents?