Will my car be lowered with shortened BILSTEIN B8 shock absorbers?

No, "shortened" dampers does not mean that the car lowers. This requires lowering spring sets or a vehicle equipped with a sports suspension from the factory.
Shortening the dampers is a technical adjustment to TL springs. The piston rod is shortened to achieve a preload on the springs.
In short: TL springs for the look - B8 Sprint for the performance.