I'd be inclined to bank the 3k/year and insure yourself - PHI in Australia is a borderline scam and half the time you'll end up in the public system anyway.
Yes and no - if I was in real trouble I’d want to end up in the public system (where I work and where the care is the best) but PHI is great for the things you never know are going to happen. Generally your life will be fine without it though