A lot of the content of the article is FUD. There is no relationship between income and property tax levy -- it's based on the adjusted value of the property. In the case of an apartment building, the value is easily computed as a factor of the revenue generated. Obviously, the process in NY is prone to corruption, as the leaders of both houses of the state legislature under Federal investigation for related issues. There are lots of stakeholders here with different interests -- unions want construction jobs, lawyers get to bill for title and other work, etc.
What has changed during the last 15 years is the importance of property tax in NYC. Unlike the rest of the state, other revenue sources were more prominent. Now, in addition to high sales tax, city income tax, special transit payroll tax, and other costs associated with NYC, you get high property taxes too.