The biggest cause of accidents is pilot error. As in this case too in my opinion, along with some bad luck.
So the engine failure would have made no difference, then?
If anyone says to me, with regard to aviation: "Good luck", I always reply: "Thanks, but I try not to rely on luck"
Almost forty years ago I volunteered to go swinging on the end of a winch cable, in that exact location, under a single engined, yellow helicopter, as a professional survivor. As a macho young man I knew no better back then. I certainly wouldn't be prepared to do it these days if a twin engined helicopter was available.
We've just read the reason why not.