Yes, your climate is definitely a bit warmer than mine!! Probably much, much closer to Arlene's gardening conditions... but at any rate, garlic grows very successfully here, even in the open garden, and I'm experimenting with growing it in an unheated hoop house; just planted a small amount in there last fall, but it's considerably ahead of the exposed plants.
Always very confusing to me to think about the seasons being reversed in the southern hemisphere... but then I get confused just going from one time zone to another, so no surprise there!