Wow. I can't speak to the number of Cozys flying as I'm building a Velocity (and the factory doesn't even track their own numbers), so I'll leave that for others.
As for safety, all of the canard designs are safe in a general sense, and probably more safe than a lot of "conventional' aircraft in one sense. However, if you consider other factors, there are some watchouts too. Let me try to explain.
The canard design is very safe from the standpoint of the most common accident type, the stall/spin. On any demo flight, the pilot will most likely show you how the canard stalls well before the main wing, and it's self-correcting. The nose will drop, the aircraft will accelerate, and the canard will begin flying again. Note that while the canard is stalled, the rudders and alierons are still effective, and the aircraft is completely stable. In my flight we slowed down, pulled the stick full aft, and did turns and the like with the canard stalled, but the coolest part was pushing the throttle in and getting 1,000 fpm climb rate with the canard stalled, demonstrating that even on approach, if you get the power on, the plane will go up, even if you don't release back pressure (which, obviously, you should).
Now, having said that, these planes don't have flaps, so the landing speeds are a bit faster and the approach angles are more shallow, and you fly them to the runway - you don't stall them onto the pavement. From that standpoint, I think you will want to build some hours in faster planes, and get some quality transition training to make sure your're ready to fly your new canard. Also, most experimental aircraft are more sensitive to W&B than, say, a Cessna. That's not really "dangerous" per se, at least to me, because you should do a W&B before any flight, and any plane improperly loaded is going to be a handful. Also, experimentals tend to respond to the controls more quickly, which is a good thing, but again you're going to want to make sure you're up to it.
So, take away from it what you will, I think that's pretty balanced information. I think these planes are very safe, but I do plan to do a lot of transition work myself to make sure *I'm* safe before I fly her. I think you have to decide for yourself what you think you're ready to fly, but if you get a ride in one (maybe at Rough River?), I think it'll set your mind at ease.
Brett