Doubling the pressure doubles the load on the sliding piston with the gun cocked and the inner cable attachment to the piston has to bear all that load. At 11 atm (12 atm absolute) that final load was 240 kg, at 23 atm (24 atm absolute) the final load will be 480 kg. I don't think that is very realistic. A dual axle gun has the inner cable doubled up around the pulley located on the face of the piston, hence two cable strands then run back to the piston to share the load rather than one strand with the single axle version (refer to the earlier "inner cable system" diagram), but now the pulley axle which the inner cable runs around and its mounting position on the piston have to withstand that load.
The increased pressure 11 to 23 atm (12 to 24 atm absolute) doubles the stored energy, the use of dual axles separates the loading effort into two parts, but they are not equal parts. To understand this we only need consider the piston being moved. The first wishbone draw will move the piston to the halfway point of the fully cocked gun. Hence with 24 atm absolute in the gun the pressure will provide 240 kg at the start and 360 kg (multiply start figure x 1.5) at the end acting on the inner cable attachment to the piston. The second wishbone draw will then move the piston from that halfway point to the fully cocked position, that will be 360 kg at the start and 480 kg at the end acting on the inner cable attachment to the piston. These calculations are simply made as the compression ratio dictates the pressure changes in the gun.
Thus subsequent wishbone draws commence at higher pressures and higher loads as the piston progressively moves, they cannot all start at the same load because the pressure in the gun increases with each loading step of the piston movement. I cannot see a CVT system bringing about a change in this situation as each outer drum on multi-axle versions of the gun should have the same spiral track form so that the wishbone cables unwind and wind in a synchronized movement, they cannot have variable "gearing" as they all shoot together even though they load separately.
If we go back to the 11 atm (12 atm absolute) example and have four axles and four wishbone cables on that gun then the gun will still only store 900 joules, but loading will then move the piston in quarter steps. The pressure will start at 12 atm (120 kg load) and move to 15 atm (150 kg) on the first wishbone draw, on the second draw it will start at 15 atm and move to 18 atm, the third draw will move that value up to 21 atm and the fourth and final draw will result in a pressure of 24 atm. Thus wishbone loadings start from 120 kg, 150 kg, 180 kg and 210 kg respectively for wishbones 1, 2, 3 and 4 in terms of the force on the inner cable. For the 23 atm (24 atm absolute) example you double all the above numbers. On a two axle version you omit the second and third draw figures, therefore the numbers are first draw 240 kg to 360 kg, second draw 360 kg to 480 kg on the inner cable system.
Even with a CVT system the piston loads dictate what can be done with the gun in a practical sense and there is a limit to physical drum sizes and spiral track profiles as ultimately the spiral track length has to accommodate the length of cable being wound on an off. A longer gun would need wider drums to provide more track length in the grooves for the longer cables. Spiral track drums would need to be synchronized from side to side on the axles so that they are at the same rotation, they cannot be out of phase, ditto for drums on multi-axle versions. Thus the design becomes a lot more complicated to make than it may appear on initial inspection and I doubt that CVT system would be able to deliver the performance expected. However cylindrical drums may work with a constant transmission, the outer drums being double the inner drums in terms of diameter so that for the same number of turns of the axle the outer drums let out double the length of cable that the inner drum winds in and vice versa.