Aside from the fact that the few policies they made explicit in their platform would actually be counter-productive to getting more supply (such as National-level rent freezes), they also don't have a good track record at the local level when it comes to housing.
I've been very involved in council-level politics where repeatedly the Greens members were aligning themselves with the right-wing members ("ratepayers rights"-type groups) when it came to delaying/blocking development permits, enforcing parking requirements, preventing/delaying rezoning, etc. They fundamentally don't understand the issue at all. All talk, no substance.
And that's before we get to the CFMEU matter, which I think was the final blow for them during the last election.