Distressing the surface of the ball so a little force is needed to get the ball to fit into the barrel does two things...the ball is much more consistent than it would be with the random folding of a cloth patch, AND ... no incidental spin is imparted to the ball when fired. The ball cannot turn a bit as it moves down the barrel when it's fired, so no off center spin happens to the ball. This is especially important to a ball that still has a bit of sprue on its surface.
LD
I have no idea if spin is imparted on any ball fired from a smoothbore, or what kind of spin if there is.
But here are some different factors involved besides whether the ball is patched or not, or rasped or not.
One factor is that not all bores are unchoked, since some shotguns are choked which means bores are not all the same.
Another is gravity which I've wondered about the effect of gravity as the ball is traveling down the bore before exiting.
Whether that causes more friction on the bottom of the ball which could cause some spin or not.
Another factor may be called rotation of which an example is this.
Testing has showed that when a shotgun load is fired from a smoothbore, the wad begins to rotate as it exits the bore, possibly even before.
That rotation is imparted to the shot load to the point that it causes the pattern to open up.
The shot load can rotate a quarter turn or more in the distance traveled to the patterning board.
And that's why companies like Hastings make shotgun barrels with straight rifling, to stop the wad from rotating as it travels down the bore.
The straight rifling can help the pattern to stay tighter by something like 5% - 10%, basically an extra 5 yards of distance with full choke, all by trying to help prevent the rotation of the wad and shot load.
My point is that there's going to be rotation and/or spin, it's just how much and what the result is.
At some short distances and with some guns, the spin, patch and ball type may not matter, and with other guns and at other longer distances, the spin, patch and ball type may matter more.
I would surmise that smooth rifles shooting tight patched round balls are more accurate than shooting rasped unpatched balls from the same gun.
And a rasped unpatched ball may shoot more accurately than the same unpatched but smooth ball because it would fit looser.
I don't know if one would travel farther or not, but it's effective accuracy that usually matters.
It's just a fun discussion to think about.
I thought rasping balls was mostly about being able to load faster during competitions to be the first to shoot a wooden stake in half.