Let me put this out there. I do potentially understand this from a slightly different perspective.
Consider a helicopter:
When hovering, and assuming any wind is negligible or zero, the velocity of the air across all blades through 360-degrees of rotation are the same.
As the helicopter changes attitude and starts forward motion, there immediately comes a situation where a blade on the left of the aircraft has an airflow across the blade that is different than the airflow over a blade on the right side. As a result the side of the helicopter with the higher velocity blade, (the one swinging forward, as opposed to rearward) will have greater lift.
As speed over ground increases, the inequality will increase, and at some speed, the rearward blade has so little air flow over it that it stalls. I thik we can all visualize this as the lift is created by air flow across the blade, and where there is no airflow due to the blade moving in the same direction as the air at the same speed.
Now leaping, (a long way) to our props in the water...
Take a boat with forward motion and put a spinning prop on a totally vertical shaft. Spin the prop such that one side of the prop is "stiill" with respect to the water, like a paddle wheel. That side of the prop will not create any force in any vector because it is simply not moving appreciably with respect to the water, BUT the other half of the prop has a water flow at 2X hull speed, and therefore it is creating force. The boat will try to tilt, if even imperceptably, due to the lift created by the prop.
Now rotate this same prop so that the shaft is fully horizontal. The effect totally goes away.
Now tilt the prop shaft to a point in-between like is the case with most of our boats and you will see the force manifest itself as prop walk if I have made a proper leap of an analogy.
This is accounted for on higher-speed planing power boats, as there is usually a little trim fin mounted just aft of the prop to correct for this when the trim is tilted way high, as when the boats are planed and trimmed out for max speed.
We usually don't notice it in forward motion, and I bet it is due to the engine and shaft being installed with a very slight angle with respect to the boat's centerline, skewed port to starboard or vice-versa... Look around your marina and I bet you will find direct drive vessels with this slight left or right drive angle....
I hope I got it or am close, otherwise I have wasted 5 minutes of a few people's lives that they will never get back....
