Indeed. I find it hard to believe any exec at FOX would take issue with the content of ANY story, true or otherwise. 
This is simply not true. TV is desperate for advertisers, and the cost of inventory (i.e. commercial air time) is dropping through the floor.
While I can’t speak to the truth of the OP’s article, I can certainly speak to its plausibility, and I can say that a one-stop-shopper who spends millions of dollars with a network would be incredibly painful to lose.
Source: me. I work in marketing, and specifically I buy ads (TV, radio, online, and print) for my employer.