A colleague who is a very experienced ex-mil pilot, flys autogyros and is of the opinion that they are much safer than helicopters - they are permanently in autorotation so an engine failure is not much of a drama and they are very stable to fly.
Their vulnerability is crosswinds for take off and landing as preventing drift is more difficult.
I believe that another issue to watch with care is any low level manoeuvring - the apparent wind effect can make judgement of speed challenging, especially when turning at low level in strong winds - the Pee Wee Judge(?) accident many years ago illustrated that I think.
Fine machines but quite unforgiving, as is so much in aviation. Sad news.