I dry fire my Ruger 10/22 and 22/45 at the end of a shooting session, so I can store them with the springs in a relieved position.
The difference I have noticed from one manufacturer to the next about dry firing seems to do with the firing pin design (and maybe the quality).
Certain guns that say "don't dry fire" use a firing pin design such that it is a large diameter cylinder (that the hammer hits) abruptly turned down to a small diameter (that strikes the primer). Dry firing causes stress at the change in diameter causing the small diameter part to break off (maybe due to what materials folks call "notch effect"). Handi's have this type of firing pin, and they say don't dry fire.
The 10/22 and 22/45 have a "rail" for a firing pin. Compared to the duty it sees, it is a very robust design. Rectangular cross section, so no change in diameter, so no "notch effect". That's why I am comfortable with what Ruger says. Don't know about the Bearcat.
Also, you can bet the term "dry fire" was coined before snap caps were invented. If snap caps were required, you can bet Ruger would have brandnamed a version, and required only their version be used. (just smart marketing).