The screw top does not create a vacuum, it just stops any air from being sucked in by the expanding bottle.
As your bottle expands from it’s chushed state air is needed to fill up the space created inside. If you prevent the air from entering, as the bottle expands the preasure inside goes down. Now your expanding bottle has to fight a losing battle against atmospheric preasure. In theory if your bottle were in a vacuum it would regain its shape with or without the screw top.
Try it with the palm of your hand instead of the screw top.
You will feel the suction.