You mention oil cooler, however, at least on my car, the oil cooler is on the opposite side of the Water Pump. Are you sure it is an oil cooler you are talking about?
Was the lower crankcase dr to passSide shot from above or below?
Was the *behind belt tensioner PassSide shot from above or below?
Some of the videos (at least for me) are difficult to get a frame of reference.
Is your vehicle a Right hand or Left Hand drive?
The one video seems to show the oil starting at the crank case girdle, but it is difficult to see. If it were me, I would be pulling the nose off the car to investigate. You can leave the AC condenser attached to the AC system, just rotate it down and to the side. You will have to drain the coolant though. That way you will absolutely be able to tell where the source of the oil is coming from.