I'm relatively confident that the storm disaster feature is not making it past save games. I don't ever recall seeing a "non-scheduled" storm disaster event after loading a save, and I've tried. It also doesn't work with certain frequencies and periods.

I did however, see my first earthquake in the game recently, it was pretty cool. Funny, I've been through a number of earthquakes in real life, yet never seen one in thousands of "game years" until now. Oddly enough it does not appear to have been scripted and was from a save game.