The spin is basically a gyro effect, the more the spin the harder it will be for the wind to push the arrow off course.That makes two of us, but I’m intrigued by airplanes.
I’ve often wondered at just how the spin rate affects xwind effects.
A possible parallel: benchrest shooting, especially short range, normally 6PPC.100-300 yards.
Almost invariably, the ability to accurately dope the wind - compensating for xwinds, even slightly for head and tail winds, is the key factor in winning. However, the slowest twist that can stabilize the bullet is normally used. Is there a parallel with an arrow? I don’t know.
Being that I routinely shoot to 80 yards, occasionally 100, I work at developing arrows that can better counter crosswinds. I normally fletch my own - 2219s and 2216s using a variety of fletchings and orientations. I use AL arrows due to their consistency of flight. This is for my testing, not hunting.
My finding with the SWAT, so that initial arrow stabilization is virtually eliminated, is that arrow overall weight (more the better), FOC (more the better) , fletching size (less the better), arrow speed (more the better) and broadhead size -actually side profile (less the better) are the primary factors at reducing xwind displacement.
But with that said the mirad of wind speeds,, density of air at differing degrees above sea level,, moisture in the air,, arrow spin rates,, vanes, shafts, bow speeds, point weights, nock weights to name a few of the things that would effect the outcome of testing make it virtually impossible to come up with a viable theory