In this question:
Two similar containers containing the same liquid are placed on two scales. We put a 5 kg object in the first container and it settles. In the second container, the same 5 kg object floats on the surface of the liquid. What is the numerical difference between the first and second scales?"
the answer is zero. and the normal force of the surface of the container when the object is settled does not cause the downward forces of the container (weight) to decrease.
The problem is that in the original question I asked, the discussion is why the normal force does not affect the scale number because it is an internal force. This internality of power is the basis on which we choose our systems. And the choice is yours. So, if in the original question, only the liquid and the body were of the system, and the body of the container was of another system, the normal force would neutralize the body's weight and the scale would show another number.
Now the question is why weight is not neutral in the real world. The scale indeed shows the result of a downward force. Still, the problem is that, for example, when we pull a 20 kg object up with an external force of 10 newtons, we have caused the weight of the effective object on the scale to decrease. Because of that, The number of the scale is reduced, but when an internal force such as the normal force of the surface of the container is applied to the settled object and neutralizes the effect of its weight, we do not consider it!
The key thing I don't understand is how we say the normal force is internal and the F is external. if it is contractual, in the real world, everything should be considered a different system and then every force can affect the number of the scale!