I don't think that's the best force diagram to apply. You should show a 5940lb center of mass and then two distances from the axle centerlines to the center of mass. Then you can show how the weights would change on an incline. Now if I was accelerating or braking during the measurement that would skew the numbers, but I think it would also tick off the scale operator.
Something I forgot is there is a crossmember and anti-wrap setup back there.
Well considering what you have in the back, I would say you are probably closer to 50-50 than we might have thought.
And like you said the platform is supposed to be accurate no matter where the load is, but I have had 200-300lbs difference when I was close to the edge, last time I came back from Boise ID, I weighed my truck consecutively in 3 weigh stations including the shipper and the numbers were off by 500lbs, and they were all within 100 miles, and the wieght wasn't going down accounting for loss of burnt fuel but was going up like the first scale was off.
As I said I wouldn't take any numbers as gospel until I corroborated them with back and forth weigh ins.
But the main thing is you have a truck that weighs 6k and half of it on each axle, that is good enough to know if you want to tow it or tow with it.

If the scales and surrounding ground are flat and the total vehicle weighs 6,000 lbs. with a true 50/50 split, it should show 3,000 lbs. if only the rear axle is on the scale and it should show 3,000 lbs. if only the front axle is on the scale. Using the above example of of multiple scale pads, you could never use those to get an overall vehicle total.