To clarify, as explained by Grant, bullets enter the rifling non-concentric with the bore and rifling (concentricity is only an approximation, 100% concentricity is a mathematical concept, not practically achievable).
This leads to bullet WOBBLE as they are spun by the rifling, which in turn leads to a CORKSCREW, flight path.
Eventually centrifugal and aerodynamic forces cause the bullet to stop wobbling, and it flies straight from there on.... but from a random point in the spiral. Grant stated that rifle shooting targets, if enough shots are fired, show up a donut pattern of impacts for this reason.
So from this, yes, bullets fly straighter paths after the first 100 - 140 yards, but they are thrown off aim before that. The initial wobbly/corkscrew flight must have quite an energy cost too.
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