I will take a wild guess and say that the last 22 rimfire firearm that could be damaged by dry firing, was made about 1914. I bought a 22 Smith and Wesson 22 in 1953. The instruction book with it encouraged dry firing, as a great aid to learning to shoot properly.
It has been stated on here that an auto loader, rifle or pistol, must have been dry fired many times, when the shooter thought a cartridge was chambered, but wasn't.
The same is true, but maybe to a lesser extent, with any repeater. Work the bolt, click. Damn, didn't open the bolt enough/didn't load the magazine right, or something else that made the bolt not pick up the cartridge.
Of all the 22 calibre rimfires that I have shot, or seen shot, or examined, I have yet to see a single firearm that has been damaged by dry firing.