Having just watched the video above of the 737 pilot and am amazed at the amount of control inputs made by the pilot. I have not flown the 737 but just can’t see how those inputs are required, I was a training captain at my previous airline, admittedly on turboprops, and when I saw a new FO “stir the porridge” I would get them to gently hold the control column in a central position and lo and behold the PIO’s would stop and the aircraft would become stable again, if in doubt release the column let it settle and then continue. Currently on the Airbus and don’t tend to see it but then I don’t have a column moving to bring it to my attention.
In a previous life I flew helicopters in the military in the SAR role where over controlling could have a rather detrimental affect on the mission in hand, funnily enough we used to use the same phrase as CISTRS above...