Typically, the issue has devolved into a debate over terminology which allows pontification but little elucidation.
As some wise one said above, there is only one Center of Gravity for any object with mass (go ahead, beat the words to death without answering the original question) including your Nobler.
What is important to the lay stunt person is that that "singular" CG location has effects on a stunt ship with respect to its three axes; fore and aft, wingtip to wingtip and top to bottom. Ultimately, the location of the "singular" CG with respect to those axes and the point at which the leadouts exit the aircraft will need to be satisfactorily resolved so as to allow the airplane to be stable but responsive (nose to tail location), fly with the (unwarped) wings level upright and inverted by virtue of the lift being more or less equal on both sides of that wingtip to wingtip "singular "CG location; and fly "tethered" with the wings level due to the point of tether (where the leadouts exit the wing) being in line with the vertical location of the "singular" location of the one and only Center of gravity.
Aerodynamically, both the fore and aft and wingtip to wingtip location of the CG may be adjusted by weight distribution (tip weight and nose or tail weight adjustments) to achieve desired response in pitch with the wings level. The vertical location of that singular CG location with respect to the leadouts is best resolved by placing the leadout exit point in close proximity vertically to the designed/expected/divined CG in the vertical axis. For the vast majority of nominally normal stunt ships (Nobler derivatives over the decades of stunt history) very little adjustment will be necessary. As a wise Al Rabe made crystal clear, however, once you start bending the wings in the middle (dihedral/anhedral) you've got to pay close attention to where you place the leadout exit point vertically so that the exit point will closely align with the vertical location of that singular center of gravity.
If you're a "modern" Nobler kind of guy like me you'll find time spent worrying over vertical CG trim issues to be time wasted that could have been better spent on a few more appearance points. I flew "modern" Noblers for several decades pretty successfully and don't recall ever finding it necessary to actually "trim" the location of the CG in the vertical axis. If you're a more inventive designer employing wing dihedral (as many are) paying close attention to major "mass items" (engines, batteries, etc.) during the design process will be time well spent and the "oddity" of the tether/vertical location of the CG may well require some attention to detail.
Finally, the fore and aft location of the leadout exit point with respect to our "singular" CG location will have an effect on the "yaw angle" of the ship with respect to its journey around the stunt sphere. Adjusting the leadout guide so as to result in the inboard wheel obscuring all but the rearmost fraction of the outboard wheel in level flight (a function of the relationship between the leadout exit and the fore and aft location of the CG (assuming no artificial/ineffective line tension enhancements such as rudder offset) will satisfy 95+% of the fore/aft exit with respect to the CG trim equation.