On Schweser P.91, they say that FCF models are preferred vis-a-vis dividend valuation models when we are talking about a majority stake. They give out a quick explanation saying that the ability to influence the distribution and application of these cash flows makes it pertinent for controlling shareholders perspective.
Basically it claims that if you have controlling stake you can influence the board and decide for instance the amount of dividends to declare. You get to play with the FCFF.
Dividends are declared from free cash flows, so think of it as FCF comes before DDM. Even if you have the control package of the firm, how can you know how much dividend to declare? You just pick a random number?
You must first understand how much are the free cash flows and appreciate the fact that dividends must only be a subset of this.