What would happen if the aircraft happens to be on fire or some other emergency that requires immediate evacuation of the helicopter for your and the passengers safety. Would you land AND shut down the machine waiting for the blades to fully stop before leaving? I know I wouldn't.
I have no issues (and do it on a regular basis everyday) in exiting an aircraft while it is running. Obviously care needs to be taken.
Not everyone flies just from A-B in a straight line.

Sounds like they do in the Mother Counrty :p

This helps put in perspective certain attitudes to risk:

NationMaster - Accident to powered aircraft causing injury to occupant (per capita) (most recent) by country

Maybe, but how much can be accurately gleaned from that except the total reported deaths? It makes no comparison by activity... number/type of flights/movements, or number of aircraft operated, or proportion of population flying etc.

That table posted by shytorque, casts the mustering cowboys in a fair light I must say compared to nearly all other countries that don't engae is such engaging maneuvres.

another before rotorques time was a '47 in qld, an old rodeo mate of mine was driving it, he hit the ground hard for some reason andthe pax bolted, into eternity.

It's so easy to give a basic survival preflight briefing to those who have not flown before. In thourist game we used to do it twice, the standard patter before embarking ans then once strapped up with the noise going, make sure that you are able to caprure their attention, with as little info as possible.

simple cliches always work best, like; in the remote chance of an out field landing,
the safest place in em is in em, pause eye contact, all compre ok;
If I aint talkin, here's the sat phone, the medical kit, water, emergency beacon, how to turn it on, and last thing is, remember;
don't get out if things are still turning around unless it gets real hot, pause, eye contact compre, so, y'all belted in an holdin on, lets go.