First of all there is definitely a system of rollers under the carriage that contains the counterweight in the GG. That would reduce friction significantly.
It is very simple.
We can assume they made a frictionless counterbalance system. Next, we have many ropes transversing around rollers, out on top, and then down to the stone we wish to raise up. We have a ramp, a frictionless ramp.
The weight of the stone inside the GG stone = 60,000 lbs. The stone they attempting to pull up is 60,000lbs. Frictionless roller. ramps , ropes, etc. The Angle of both ramps are the same. What do you have. You have reached a state of equilibrium. If the GG stone is at the top, you can add very little weight, and accomplish you task. As the 60,000 lb. stone descends, it pulls up the stone on the out side. Wonderful...
OK. we want to pull up another stone, but now our 60,000 lb. stone is at the bottom inside GG. We need to pull it back up. So now we hook up ropes and start pulling up the GG 60,000 stone. It took us 100 men to pull it back up and lock it into position.
Question. Will it not just take 100 men to pull up the other outside stone of equal weight? Why would you go through all that trouble building the GG, and then build an apparatus, when all you need to do, is just pull up the stone on the outside, without all that additional effort.
If that GG stone is always 60,000lbs, and you use it to pull up a 40,000lb. stone, you are actually working against yourself. Instead of just pulling up the 40,000lb. stone, you have to pull back the 60,000lb. stone, which is 25% heavier...
What is abundantly clear, is Dassualt Systems and Houdin are perpetuating a proposal which is unworkable, in an effort to explain how the Pyramids were built. How did they get the 6,000lb. stone into GG? All a Counterbalance can achieve, is to neutralize the weight of their apparatus, it provides no mechanical advantage of any type. And, as apparatuses go, here is one that you could use, and it will reduce the weight of the 60,000lb stone into a 30,000lbs. stone, and it takes up a fraction of material and labor, than the Dassualt / Houdin contraption.
It's called a movable pulley, 2:1 ratio. They never mention that, now do they?