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In the gun, I only ever collect/project the center angle. I only use precise bot width in my gun to find the exact center angle in the range. I use an imprecise bot width as the bandwidth in my kernel density when aiming.

In movement, the precisely predicted bot width is also the bandwidth in my kernel density. I still ignore it whenever collecting angles.

Using only the center of the range makes sense.

I wonder how much improvement is due to precise calculation, and how much is due to distortion (imprecise/unpredictable calculation).