As I state at the end of the post, I'm quite well placed to deal with all this and thus personally find it mostly rather comical. However, dealing with this as eg. a refugee fleeing war or persecution is another kettle of fish, and the sheer rigidity of the system means that plenty of people fall through the cracks: a friend of mine recently had to leave the country after 10 years (!) of legal residence and entrepreneurship because his self-employment didn't fit squarely into Immigration's boxes.
Singapore is a business, not really a country, they want as many immigrants as possible. They have a stated aim to use immigration to massively increase the population. This is not the same situation as Australia at all.
And refugees don't have to apply for skilled visas, they come under other rules.
Good luck with your visa, but don't assume that everyone finds the system as hard as you seem to be.
I don't even live there any more so it doesn't affect me directly.
How Oz treats refugees is a subject of much debate, I was trying to say it's quite a separate issue from this one.