I don't have the statistics, so I shouldn't be rash, but I would imagine that it does in this instance.
As Mr. Randev said, there are very few Federal Court challenges of visitor visa refusals, because they're seen as low stakes. I was able to find one case. That's at the end of my submission. The judge basically said that reasonable decision-making must take place.
The case I've cited in here involves a woman who was 60 years old, spoke no English, had never travelled overseas, had just retired, had been married for 30 years, had three adult children and four grandchildren—this is rural China we're talking about—had a pension, had joint property, and had siblings within walking distance of her home. This person was rejected because she had “insufficient ties” to her home country.
I would ask any reasonable person to judge whether that set of circumstances represents sufficient ties to one's home country. That's where national profiling comes in.