The main danger is they do not pull the damn thing and crash and burn.
Hence why there should be far more approved expert direction on the use of the chute.
I am sure as Fuji said that will come as more data comes from production test pulls rather than manufacturer test pulls
I do not think any more accidents than any other aircraft type and probably less due to half baked idiots (but certainly a few)
There should be more education on the chute to guard against the chute encouraging pilots into conditions where they would normally not go in conventional aircraft otherwise you create the accident situations you are trying to protect against.
I am sure the above is a major factor in many of the chute pulls I have read
But the chute is an excellent potential life saver and will make more PAX happy to go on a flight especially if the pilot looks like a potential heart attack victim in the making
As some do
Pace