One of the issues the article doesn't mention is that these houses are effectively cheaper to purchase for corporate owners. Generally they can borrow money at a lower rate, but the ability of corporate owners to use depreciation on a new purchase to offset profits from previous purchases is more significant. Effectively they are redirecting money that would be paid in taxes into the payments on the new purchase.
Our system is far more regressive than most people realize. The poor pay more for things, don't have access to all kinds of tax breaks and cheap money, and can't afford accountants and shell companies and all the other complicated tricks you can use if you are wealthier. I wonder: if you added it all up, would a flat tax (which is nominally regressive) actually be more progressive than the regressive taxes we have?
That's an easy one to fix regardless. Use a flat tax with a large fixed refundable credit. Now everyone pays e.g. 30% but gets a $12,000 credit, so someone who makes $40,000 is effectively paying zero, someone who makes $80,000 is effectively paying 15% and the effective rate approaches 30% as the number goes up. But the marginal rate is the same for everyone so there aren't all these complexities and arbitrage games, and at lower incomes the credit stands in for a lot of assistance programs so you don't get all the marginal rate cliffs from overlapping phase outs.