Advantage: the yield our landlord achieves on the property we rent is less than half what we'd be paying in interest alone if we were to buy it (which would be paid with post tax dollars). This frees funds to invest in IP and the interest paid on this is done so with pre tax dollars.
Disadvantage: you don't get that warm and fuzzy of living in your PPOR plus you're at the whim of your landlord. Also, there's the potential for the FHOG if you're buying a PPOR plus there is no CGT when you sell.
This works when you're disciplined enough to make wise decisions with the money you save. For many people, owning (or at least repaying) their PPOR is a forced savings plan. It also works out better in areas with a lower yield as the cost compared to purchasing is much less.
I've gone through the maths personally and with other people many times and in my mind there is no competition from a pure financial perspective. For most people though, buying a PPOR is an emotional experience and the pure economics of the decision are often overlooked.