Paying out a lot more to the federal government than they receive back does not mean these states are doing well and others poorly. It really just a natural consequence of having a lot of high earners in a progressive tax system. The states in question have been racking up huge amounts of debt and/or have underfunded pensions funds, which is why they are consistently ranked lowly in terms of fiscal health. I am a little surprised you had you not heard of the financial problems coming out of Illinois, New Jersey and the like? There's even a dedicated Wikipedia article:
Sigh.
Even if we look at a list of states by GDP, Illinois, New Jersey, and Massachusetts would still be perennial top 10 states. Even a list of states by GDP per capita, they all still are perennial top 10s. Per capita, I would bet that Massachusetts is number 1? (Maybe NY might edge them out? But I'd definitely bet they're number 1 or 2.)
Listen man, I don't even like Illinois. I hate Chicago. But facts are facts. They make a $#!t ton of money. And not the easy way doing financial engineering like New York. They do it the hard way with a huge diversified economy. Few states are like that. It's just a fact man.
Are you going to say that GDP is not a good indication of what a state produces?
Never lived there myself, but I know for a fact they're consistently in the top 5 of contributors to the federal kitty of all states both nominally, and per-capita. They get almost nothing back compared to what they put in. They are, arguably, the largest contributor to the nation if we're considering individual burdens. And a top 5 contributor by outright total aggregate tax contribution.
Illinois and New Jersey, by total outright tax contribution, are also consistently in the top 5 of states that contribute to the federal government. (And I'm from Wisconsin. I hate Illinois. But facts are facts man.)
Hate to tell you, but your source is bogus as far as analyzing the biggest contributors to the national kitty.