@believer117 In short yes, they should. But I think the logic in getting to your answer is a bit spotty.
Remember yield is a function of rental return/property price. So it's not because yield is low that the properties in Syd/Melb have the most room to fall. Yield is low because of the high prices and it is because of the high prices that they will fall.
The comparison of shares to property doesn't really work as house prices are influenced by housing consumers and investors, versus just investors for shares. Also, not all companies generate returns or even a profit, so it is only logical that companies which generate real returns and can be valued on a tangible metric such as their future cash flows, will fare better in an inflationary environment.