I’ve been researching more into the ‘should OIS be on or off on a tripod’ question.
Most of the comments around the net relate to still camera shooting where the need for stabilisation is different to video. The need with stills is to freeze any camera movement at the instance the shutter ‘fires’. With video, shots are continuously being taken and our need is to keep the subject continuously steady in the frame. Both my current Canon and previous Panasonic tape camera recommended switching OIS off when using a tripod. But my own tests have given no image difference between On and Off. Most of my tripod work is closeups but I’ve just carefully studied a recent video I made of local scenes using a tripod for many of the shots. Looking at the image edge on my TV for signs of movement I detect none other then when my tripod was clearly being buffeted by wind. Had I had OIS off I expect the movement caused by wind may have been worse. So I’m keeping mine on.
This doesn’t help the OP. I wonder whether the jumps are caused by tripod movement resulting from vibration. Mention is made of wooden floors and bass frequencies. Possibly there may have been jumps whether OIS was on or off. Only comparison tests under similar circumstances will show which was better – OIS on or off.