Helo Teacher:
I'm afraid I'm a lot less sanguine than you about pilots' ability to get into autorotation after a sudden and complete engine failure in an R22.
In the case of a partial or gradual engine failure I'm sure there would be few problems, but where something like carb icing turns the engine off like a light, especially in the climb, I'm simply not convinced that the average person's recognition processes/reaction time are up to the job.
As to the engine-off landing, look at it this way. 1800 fpm is about 20mph. Even if you don't lift a finger, by the time the skids have splayed and the crumble zone has concertina-ed you're not looking at deadly force.
Once again, I'm talking about the R22 here. I'd happily zero-zero a 206 from 100 feet at 30 knots in the climb.