You’re not viewing it correctly. There may be two forces acting on the scale but only one is acting on the scale spring. The other is acting to hold the scale stationary. If, for example, you suddenly removed the 100 N force from the spring the other 100 N force would pull the scale across the table and to the floor. However since there would be no force acting on the spring as it would fly across the table the scale would measure 0 N force. Does that explain why the scale would read 100N in this experiment?
The same applies if your holding the scale vertically. One force, your arm, holds the scale stationary and the other force acts upon the spring. If you removed the force from the spring the scale would move in the direction of the other force, your arm, but since no force is acting on the spring the scale would record 0 N force.