I think a strong housing market may be the result of lack of productive capital, but I think it has more to do with supply and demand. Most average people pay for a house using a mortgage payment, so when buying a house, they'll be looking for a house that has an affordable mortgage payment.
Let's say Joe wants to spend / can afford a $1000/month mortgage payment. If interest rates are 5% and the maximum mortgage period is 30 years, Joe can afford to buy a house worth $190,000. However, if interest rates go down to 2% and Joe can now take a 40 year mortgage, Joe can now buy a house worth about $330,000. Great for Joe! The only problem is that housing supply is relatively inelastic, so the supply of housing didn't magically increase overnight. When Joe buys a house, he's essentially bidding against a bunch of other people for that house. If those other people's mortgage payments were affected the same way, then the actual effect is that what was once a house worth $190,000 is now worth $330,000.
This sounds like a problem out of an Econ 101 exercise. Either politicians are stupid, or more likely, they know that "homeowner policy" like this can make them and their other rich buddies even richer.