I fly both. Autogyros are safer than helicopters IMO because they are much easier to land engine-out and it's very easy to do a spot landing where you have almost no horizontal speed when you touch down. It is much much safer than a comparable two-seat light helicopter like the R22 because if the engine quits on the R22, you have so little time to drop the collective that there's a good chance the rotor will stall and you'll die.
The reason autogyros statistically aren't great is that, at least in the US, there are a lot of very cheap ones built and flown by people who don't know what they're doing. I've read tons of take-off accidents simply caused by the pilot trying to take off like an airplane instead of a gyro.