I too work 24 hour shifts at a Central Queensland Helicopter Rescue base.
Like the NSW firefighters, I get to sleep at work. In a proper bed, at sealevel. Not in a big long tube at 36000 feet with a lot of ambient noise. The quality of sleep would be questionable.
We have a 15 minute response time during the day, therefore must be awake. Then being called out at midnight for a 5 - 6 hour task is hard work. Even though I may have had a few hours sleep. I have gone offline due to fatigue with plenty of "duty hours" remaining. Because I felt I was a danger to myself and the crew. Probably don't have that luxury at 36000 feet.