Yes. What Prop. 13 has done is taken all the tax money that would go to fund local services, and instead given it to former property owners. From a cash flow perspective, there's no difference between paying a large mortgage and small property tax, or a smaller mortgage and larger property tax that total to around the same amount. But the difference to the local economy is that the tax money would stay in it, while the mortgage payment effectively funds a large payout to the previous owner, who then most likely takes the money out of local circulation.