I don't think that's true, you can even get into a spin and recover as long as you don't panic and have enough altitude. It's just a matter of training. I think it can be as safe as driving a car. Maybe even safer since there aren't as many other idiots in the air that can kill you, haha

For example, in this video, you can see all he needs to do is to push the rudder with his feet to recover from the spin, no hands needed:

Also, don't forget that planes can glide. Even helicopters can glide via autorotation.