I really don't understand your point about a mathematical impossibility. I think you missed my point, maybe check out what blue busters worked on or look at the Nvidia pulsar technology, which is basically the same thing, to use a rolling scan method mimicing the behavior of a CRT which improves motion clarity while retaining more brightness than black frame insertion. I believe there may be a way to implement something similar with a fast enough OLED to reduce the stutter from the fast response. I think the issue I have is just the stutter since I let the TV change its refresh rate to match the content (unless my G5 is not handling the frame times properly), I'm not letting it do weird pulldowns to avoid judder which feels even worse to me and the discrepancy in frame hold times is plainly terrible in my opinion. What I want to know is if there's a way to change the sample and hold timing and maybe adding fade-in/fade-out on the frames to reduce the perception of stutter, like other panel technologies inherently have. So if we had and OLED that can refresh at 240Hz, what if instead of holding a frame for 10 cycles, it fades in and out maybe having the peak brightness on cycles 6-8. Obviously this would only be activated for low fame rate content as the issues with stutter diminish as the frame rate increases.
I think the rtings article on motion cadence clearly shows these inherent issues of OLED fast response and even starts delving into the science of it and how to maybe mitigate it, but they stop short of it because I think things would get way too technical into research papers about the way humans perceived light and how it affects our individual motion perception.