One of the perks of having private health insurance is being treated as a private patient in any hospital. This usually means having your choice of doctor, hospital and treatment time.
And even better, you are likely to find that, when it comes to elective surgery (surgery for a non-life-threatening condition, like a knee reconstruction), you will have a shorter waiting period, as people with private medical insurance are given priority.
As a privately insured patient, there are attractive policy benefits (aka extras) to choose from. These can help reduce your day-to-day expenses for many common items like glasses, massage, dentistry and chiropractic treatments. Some providers also offer cover for natural therapies, although YMMV, so check your policy before assuming natural therapies are covered.