Respectfully, no - unless we're talking about two (or more...) different things here.
Ratio of affect on front axle load by load in the loader and load on the TPH is affected by actual weights as well as distances from and between axles.
As ctogoldwing has said, the actual
relief of load on the front axle is determined by distance between the axles, the distance of the TPH weight behind the rear axle, and the TPH weight. It can be calculated independent of the presence of a loader and its load. In my working life we called that "superposition".
I'm going to butt out of this conversation now, but do have one last question re the loaded pencils and tiny truck scale: those ag pencils or turf pencils?
Z.