I do like a technical discussion.
With over 16,000 flying hours, it's been a very long time since I've flown a single engine prop, and the theory is a bit rusty, but I'll offer the following:
During takeoff, a little single prop driven aircraft will yaw to the left and require right rudder to keep it tracking down the runway. There are 4 factors that cause the yaw.
1. Slipstream - the airflow corkscrews down the fuselage hitting the rudder on the left side and causing left yaw, this is worse at low speed.
2. P-factor, - the down going prop (right side) has a greater angle of attack and generates more thrust, causing left yaw - for a taildragger.
3. Torque - the prop rotates right, the aircraft wants to rotate left. Normally aileron is used to counteract this but rudder is used on the ground and at low speeds.
4. Gyroscopic precession - for a taildragger on takeoff, as the tail lifts up, precession causes a left yaw.
Of all the factors, Prop wash is considered the most significant, this article pretty much dismisses p-factor:
www.qmfc.org/school/asym.htmBack to boats. The factors are no different except precession is excluded due to the fixed angle of drive.
Prop walk is most apparent on a long keeled yacht in reverse, simply because of the slipstream effect over the big long keel with the prop usually very close to the keel. You can play around with all different kinds of props to try and reduce the spiraling slipstream, but it cannot be eliminated. Going forwards, if you have a great big slab of a rudder very close to the prop, again you are going to get prop walk.
For an angled drive shaft, the prop walk effect is mostly again due to the wash slipstream up against the hull as well . If you have a right handed prop, in reverse the wash spiral will want to push the stern to port.
As in the article, p-factor would be negligible as prop walk is most apparent at first with very slow/no speed. P-factor increases with speed.
As for the change in water density explaining prop wash, that's one for the boffins but I think the effect would be negligible as compared to slipstream.