To further clarify this issue, not just any tank movement will clear the way for a paratrooper-carrying bomber. Only a blitz movement will. A blitz movement occurs only when a tank moves through an unoccupied hostile territory and then into another territory. Only the first territory is considered to be “blitzed”, and its ownship changes immediately during combat movement. The territory in which the tank ends its movement is not considered to be blitzed, whether it’s occupied or not. That territory’s ownership doesn’t change until the combat phase.
As an example, lets’ say a tank starts in Territory A and blitzes through unoccupied enemy Territory B, then moves into unoccupied enemy Territory C. Only Territory B is blitzed and changes hands immediately. A paratrooper-carrying bomber could move through Territory B, as it is now friendly due to the blitz. However, it would have to stop in Territory C, as this is still enemy-held territory.