Again we come back to theory versus practice.
In terms of what one shooter might observe at a particular outdoor range will not necessarily be the same at another range, let alone at a different target distance.
Slap a firearm of any sorts into a machine rest and take away the human elements (especially the optics) and test fire in a controlled environment. Again factory ammunition is tested worldwide using this method and I've yet to read any reports describing reduced group size with distance. If the firearms/ammunition manufacturers did find a repeatable combination, then their marketing departments would be the first to shove it down our throats as the next big thing, in an attempt to differentiate themselves from their competitors.
In practice, at an outdoor range with certain conditions I certainly would not say that the phenomenon is not possible, just not very probably.
Please excuse me for indulging in some lateral thinking again. Next time you're visiting a natural flowing water course, push a buoyant mass into a relatively large open section upstream from a narrow converging section, maybe even rapids but no major obstructions given the size of your chosen buoyant mass. Note where the mass finishes after the narrows. Repeat the step again with same mass, but go further upstream. You can also try pushing the mass out into the open section with a variable amount of force. Relatively speaking, the mass will go into and out of the narrows with the same amount of "accuracy". Effectively there is a force that is funnelling the mass through the same point/window each time.
Now I won't be so bold as to try and tell you these masses, forces and velocities are proportional to those experienced by a supersonic projectile under the influence of wind on the way to the target. That does not mean though that the concept can not apply and some shooters have effectively 'measured' this at their range. Effectively there could be a 'window' (2-D planar) or tunnel (3-D) that exists under certain conditions wind or even light conditions for a period of time, that enhances accuracy between the shooter and the target. Effectively a shooter's aiming errors and/or load group size dispersion is reduced significantly enough to produce a measurable result. The conditions after the window or tunnel would not be variable or have no significant influence on the course of the projectile. Ideally a tunnel would exist from your eye to the target, large enough to accommodate your barrel and projectile trajectory.
Yes I threw in light also, because although that target physically exists in time and space, that visible part of the electromagnetic spectrum needs to pass through a variable (density) media, ground-level atmosphere. Significant changes in the density of that media and light will bend. It may not bend enough to see around corners, but the mirage effect from a temperature inversion can be significant when it occurs at the target and doesn't include the shooter's position.
Must think about shorter posts, but it would be a lot easier if I just knew the exact answer instead of all this hypothesising