One of the problem factors I have heard discussed in operating light gyroplanes is that of them generating pilot over-confidence.
Like any aircraft they will bite if inadverently flown outside of their limits.

A few months back I was chatting with some fellow workers, including one who is a Rock Ape about unusual things we had seen during deployment’s from our unit. The Rock ( RAF Regiment, for those who don’t know RAF Speak) told us of how he was on detachment to an Army Camp, located on an ex RAF Station a few years back, when he was volunteered, to support an old boy’s reunion on the camp, by the fact that he was the only serving RAF Serviceman there at the time. Now this guy’s only real interest in aircraft has been in shooting them down (as a Rapier SAM operator), and the one which is bringing him back from hot and dusty places. So except for the prospect of some free beer, he was not looking forward to it. Anyhow, he gets chatting to the old boy’s and finds out one of them is a quite famous pilot, who is still flying on a US pilots Licence, due to his UK one getting revoked and the guy is going to give the old boy’s a bit of a display, before he flys home in his autogyro (at this point, I told the rest who the old boy was, seeing that I’ve met him once as well). Anyhow, the rock them goes on to tell us how he then saw Wg Cdr Ken Wallis embed his autogyro into some goal posts on the football field (found a report about it here).

Seem’s they can catch out even the most experienced pilot.