I have two SR22s, one is over four years old and has been dry fired over 5,000 times (probably more) and over 7,000 rounds including a 1,000 round "torture test". One failure to fire (Remington ammo) and one failure to go fully into battery after round 757. It will eat any ammo I put in the magazine, although CCI quiet won't cycle the slide (not that I would expect it to). Excellent teaching pistol in my opinion.
The way the chamber on the SR22 is designed ensures that the firing pin does not hit the metal face of the breach. It will only strike the rim of a cartridge and not make it to the breach face on an empty chamber. So by all means, dry fire away.
As for needing to "dry fire it to store it properly", no. This is a hammer fired weapon, not striker fired, so dropping the hammer is all that is needed for proper storage. In fact, Ruger even included a safety/decocker lever to make doing this even more simple.