You have two bodies rolling down a spiral. Sure there is a function G, but there are friction components of the roll, differential friction, atmospheric, and centrifugal force components, just to name but a few.
Lastly, one would expect a basic difference because the contact patch speed relationships are different between the two bodies and I don't know how you constrained them to the track.
If for example they are running down a Vee-groove, you have two contact patches normal to the radius ascribed by the spiral, so a "solid axle/differential" problem as the outside contact 'wheel" travels further than the inside patch/wheel. The diameter of these balls being different, the contact "wheels" diameters are different so the offsets (trying to go to near equilibrium with the centrifugal effect) will differ.
Far too many unknowns here induced by the conditions of the experiment as described.
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