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Ian K said..That's because of the way the cosine graph sits at zero degrees. Lift is proportional to the cos of the lean. Aim to cruise with a bit of lean to windward and you get in the slopey part of the curve. Cranking a little more lean to windward can immediately knock off a useful amount of lift. If you start upright, at zero degrees, it takes quite a few degrees before anything happens.

Interesting point. Another way of looking at this is that the lift of the foil is constant for a given speed, and perpendicular to the foil. By tilting the foil to windward, the lift is split into a vertical (up) and horizontal (windward) direction.
That explains nicely why adjusting to gusts by increasing the foil angle works much better if the foil is already tilted. But it does not explain why placing the feet outside can create a more locked, stable feeling, even if the wind is steady. For this, Peter's theory about the wind effects makes more sense - with the board tilted windwards, the wind exerts a pretty constant force on the board. On the other hand, if the board is flat, then small changes in the board angle can cause a change from pressure on the board to the wind lifting the board (when the windward edge is up a bit). For this part, the cosine curve above does not apply directly, since the board acts as a wind foil.
To tilt the board to windward, you need to have the feet further outside, and/or have pressure on the heels instead of the entire foot, or the toes. That creates more distance between the "force attachment points" (mast attachments at the center line and feet). I wonder how much this helps with stability - think tricycle vs. unicycle, or the pole a rope walker uses.