First off, I don't think it matters which way you lean to carve/pivot towards your paddle side. Either way, I think you can track just as straight of a course as hen using correction strokes alone, maybe even straighter. Although the canoe is carving a radius it is offset by the yaw of your forward stroke and affected by any wind that might be present. Using the carve and wind, you can track just as straight a line as using correction strokes, but with less energy input from your paddle. In the ideal situation, the wind coming from your off paddle side will counteract yaw without having to carve that forward circle. You can keep the boat flat, (side to side), basically carving in a straight line taking advantage the dynamic stability created by the hull. In this situation you don't have any drag from either a correction stroke or a carve (lean). By working on this over the last month or so I have been able to eliminate almost all correction strokes.Finally, we had influencers such as Tom Foster (mainly in whitewater) and then Charlie Wilson (mainly in flat water) advocating and teaching the "inside circle forward stroke." In this quasi-forward stroke, the hull is induced to "carve" toward the paddle side and then this yaw is counterbalanced by an uncorrected forward stroke, making the canoe go quasi-straight without any need for correction. (I keep saying "quasi" because the canoe is actually traveling along the curved circumference of a very large circle, and must be kicked slightly in the other direction periodically.) However, the confusing point is that some hulls in the Foster/Wilson stroke will "carve" better toward the paddle with an inside heel while other hulls will "carve" better with an outside heel. The difference, generally speaking, is most pronounced between high and low/no rocker hulls.
@lowangle al suggests that weight distribution can affect whether the hull naturally prefers to pivot turn or carve turn, to use the terminology I originally learned. I suppose that's possible because altering trim can alter the waterline profile of the hull.
I'm calling this turning toward your paddle side a "straightius turn" because it combines the turning effect of your hull with the turning effect of your paddle, to create a straight line.
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