My point elsewhere in this thread is a that demand is not entirely a function of demand for homes (what I would call 'natural' demand). Finance and tax incentives play a large part too - encouraging demand for investment properties that are often not used as homes (what I would call 'artificial' demand).
This is not to say that addressing supply through more building is not helpful, just that there are other things to consider that may not require as much effort and can have broader economic benefits (e.g. changes to the tax system to encourage productive rather than unproductive investment, credit guidance, etc).