All the data I have seen shows the opposite. anything beyond 16-18" shows a reduction in FPS. You can only put so much powder in a .22 RF. In centerfire shooting, with a longer barrel, you can often get more velocity by putting more slower burning powder in the cartridge.
In the .22, the only way you can get more velocity is use faster burning powder with a lighter projectile. Lighter projectile as less weight therefore less force is required to get it moving, so the faster burning powder will not overpressure and blow the case out. End result is a bit more speed.
For readers in general, the assumption that there's a certain barrel length beyond which .22LR bullets must slow down is an idea that's not necessarily correct. It's repetition on rimfire forum posts doesn't make it a rule.
Barrel length is only one of two important factors that helps determine .22LR MV. The other is bore condition, including how smooth, concentric, and tight the bore itself is.
There are studies that are more scientific and more reliable than internet lore (including the "Ballistics by the Inch" website) and anecdotal reports that shorter .22LR barrels are invariably "faster" than longer ones. In one such study, the same rifle was used with its initially 24.25" barrel progressively cut shorter inch-by-inch. A number of different kinds of .22LR ammo was tested as each inch was cut off, including various match ammos. The results showed that there was not a consistent relationship between barrel length an average ammo MV. As the tester observed at the end of the testing, "Amazing is in it? With center fire each inch means something, here [with .22LR] not so much."
For the data developed from this testing, see https://forums.accuratereloading.com/eve/forums/a/tpc/f/8711043/m/4871072832/p/1