OC, I don't wish to belabor this point unduly, but you really do not understand the problem of what PIO is. If we were to completely accept your viewpoint, we would throw the work of several generations of aircraft handling specialists into the dumpster as an unnecessary complication.
The roll oscillation on AF447 which I suspect may have been PIO was a converging oscillation. There are other oscillations that diverge and are nothing to be trifled with.
Take a look at this video clip of the Sageburner accident and tell me how well your strategy of deciding to do nothing would have worked. This video is a pale imitation of the original phototheodolite film. On that film, the photointerpreters could clearly read out actual stabilator position and thus infer stick motions.
F-4 PIO - YouTube