I have worked for both Murdoch and the once great Fairfax media empire. It saddens me to see how far Fairfax publications have fallen, due in most part to cost cutting. I can't see them lasting much longer.
Murdoch at least has the wealth to employ many more journalists than Fairfax so the breadth and timeliness of reports is much wider. Neither are Independent. Both have their biases.
If you want a quality read try The Australian Newspaper, particularly on a Saturday. It's the best of the bunch, imo.