No, you are confused. I will explain what Australian culture does mean. There is no homogeneous explanation; but... Raise your kids responsibly; inculcate values to take care of yourself irrespective of your parents; give your kids enough responsibility and self developmental time so that they are adults at the age 18; they go and find their own adventure and take care of their own life as they should and they live happily. Have your own house; a kid behind the white picket fence. Adults can also take care of themselves and have enough money saved so that they don't look towards their kids for the dole; you actually have a hobby and now go repair vintage cars or you can go live in old age where trusted trained individuals can take care of you. Not everyone dies in old age home. Joint family concept exists in Australia too; but in Australia adults actually know when your kids are not kids anymore and have become adults.
http://www.aihw.gov.au/WorkArea/DownloadAsset.aspx?id=10737421028
Page 41 shows total <60K persons admitted in old age homes in Australia, and not everyone stays permanently. Looks like you don't even know Australian culture.
Does sound fancy? It is not. This goes for every culture. Love marriage should not be looked down upon just because you perceive it to be against parents and culture.