Green solid-state lasers are inherently less durable than red ones. If you throw or drop them both, the green one could go out (quit working), while the red one would probably still work. Here's a very simple reason why:
Red diode lasers are simple in construction. There is a red-emitting laser diode on a piece of heatsink material and a lens to focus the fan-shaped light into the narrow laser beam that comes out the business end.
Green diode lasers are more complex in construction. An infrared laser diode (808nm at several hundred milliwatts typically) is mounted on a piece of heatsink material. This diode shoots into a crystal that contains the rare earth element neodymium, plus yttrium, vanadium, and oxygen (the crystal is called NdYVO4); this crystal lases at 1064nm (yes, deeper into the infrared), which then shoots into a second crystal containing potassium, titanium, and phosphorous (called KTP); this crystal doubles the frequency of the 1064nm laser light into the 532nm green that you can see. A filter that blocks infrared (808nm and 1064nm) should be present somewhere after this second crystal. The green laser light is then shot into a lens to focus it (much like the red diode laser) and viola - there's the green laser beam.
If you drop a green DPSS laser and one of these parts becomes loose or even spins in its holder, chances are you'll lose the green laser beam. Or you'll get a beam, but at a greatly reduced power compared to what you used to have. Presto, your green laser poops out!!!