I believe that the "16 inches", is possibly in reference to an article that I read years ago. If I remember correctly, the article stated that a .22LR cartridge only needed 16 inches of barrel length to completely burn all of the powder, and would actually start losing velocity, or coasting, until it exits the muzzle. I know, kind of a broad statement today with all of the different .22LR bullet weights and velocity spreads between them.
If I'm wrong, consider it the ramblings of an old shooter.
Also, longer barrels are usually to increase velocity for cartridges that have the powder charges (centerfire), to do so. And, longer barrels on rimfire cartridges to increase sight radius for target (olympic) open sights.
Longer barrels generally have too much "bullet time" in the bore to benefit accuracy. Harmonics and such.
Man, I guess I can ramble on!