The problem is really just basic physics commonly known as the "station wagon effect." When a boat moves through air it creates an area of low pressure behind the cabin and transom. The exhaust rises because it is hotter than the surrounding air and moves into to fill the area of low pressure which we perceive as exhaust odor as it fills the space in the cockpit. The image below shows the effect on a wake board, it is the same on a sailboat.
On a sailboat motoring downwind the problem becomes worse when the wind is faster than the boat. The wind literally blows the exhaust forward into cockpit. Moving the exhaust outlet may have some positive benefit, depending on where it is currently located and the intended location. Lower and on the side of the hull may be a better location, but I have no empirical evidence to support that claim. The reasoning is the exhaust will be pushed into the slipstream and dissipate further away from the boat. The worst place would likely be high and centered on the transom.
The AWS and AWA will have an effect on how quickly the exhaust dissipates and in what direction. A beam on wind will probably be most effective at moving the exhaust away from the cockpit if the exhaust port is on the leeward side of the boat.
View attachment 240445