There's a confusion lurking here between straight-line forces and moments (torques). A straight-line force of a given magnitude will create a torque about any point that isn't right on the line of the force. For a given force, the amount of the torque depends entirely on the how far away from the line the point of interest is. Move this reference point farther away from the line of the frorce and the torque gets larger without any change in the force.
Example #1: Push with 50 lbs. on a 1-foot long torque wrench. You'll apply 50 ft.-lb. to the bolt. Now get a 2-foot torque wrench and push with the same 50 lb. You'll apply 100 ft.-lb. Push with 50 lb. right on the bolt itself, and you'll get 0 ft.-lb., even though you're still applying the same force.
Example #2: Imagine two boys on a seesaw. Say their total weight is 100 lb. If each of them sits out as far out on his side of the board as he can while still balancing the seesaw, how much weight force does the center support feel? Well, 100 lb, plus the weight of the board. If now they both move in to the center of the board, does the down-force on the support change? Nope -- obviously, it's still 100 lb., plus the weight of the board. The kids' weights haven't changed, only the moments that each of them creates by virtue of his location relative to our point of interest.
In a HTL machine, the engine applies X pounds of straight-line force to the frame somewhere above the CG. The machine experiences X pounds of thrust. It also experiences a moment tending to rotate the nose downward. Meanwhile, the rotor applies a straight-line force equalling Y pounds of up-and-back thrust. In the HTL machine, this Y thrust is applied ahead of the CG, creating a nose-up moment as well as straight-line lift. The nose-up moment is NOT created by the rotor's making some "extra" force, it's simply a by-product of the position of the rotor's thrust line. In effect, the moment is "free."
Now put the same rotor and engine on a CLT frame of the same weight. Both the rotor and the engine will generate exactly the same straight-line forces as before (X and Y, respectively). The only difference is that, by virtue of their POSITIONS relative to the CG, these X and Y forces don't create moments as a by-product. We've moved the kids to the center of the board.
In switching to CLT, you may get a bit of reduction of parasite drag because you put the pilot right in front of the engine instead of below it. You've reduced frontal area.
A gyro that achieves pitch stability by countering a high thrust line with a powerful down-loaded HS DOES lose efficiency compared to a CLT machine. In that case, there really IS an extra load in the verticla axis that the rotor must carry, not to mention the drag of the HS itself, which the engine must pull along. IOW, both X and Y go up in this type of setup.