That is right, I agree with you.
I agree that the scale should read 61.5 kgf. The mainstream is the mainstream because it works!
What? Now you are saying the scale shouldn't read 61.5 kgf???
The 60 kgf that your calf muscles are supporting IS YOUR WEIGHT.
Wrong.
It is not a new theory, it is a blatantly wrong silly misunderstanding of physics
So if your calf muscles are exerting 60 kgf when standing still with your heels raised, then the scale should read 120 kgf?? How does that make any sense?!?
Here is where you are wrong. If the scale reads 60 kgf when standing flat footed then the scale should also read 60 kgf when standing motionless on your toes. This is just common sense, how could it possibly read higher? You seem to think you weigh more when you stand on your toes, so where is the extra weight coming from?
If you are standing on your toes your 60 kgf weight is being supported by your calf muscles, that force is transferred to the balls of your feet which is transferred to the scale which, of course, reads that force as 60 kgf.