"But when you look at the numbers and the representation of women onscreen, that’s absolutely not the case. The film industry does not like change."
Film — to the extent that it's an "industry" — likes money. Does it have political beliefs? I thought the "progressive" belief was that corporate entities lack minds and souls and can have no beliefs, so the moment you say "film industry," your concept collapses on itself.
But let's assume these groups of people acting together within corporations really do have political, moral, philosophical, and religious beliefs. Let's get more detail about what those beliefs really are. These corporate entities may relatively successfully brand themselves as more or less liberal and progressive, but that doesn't mean that they really are and maybe they don't even want to be.
Pressure groups — like the Center for the Study of Women in Television and Film at San Diego State University, quoted in the linked NYT article — can mess with the branding. And moviegoers can vote with their ticket-buying for more woman-centered flicks. But that all keys into profit-seeking, not anything genuinely liberal.
But it's fun to watch from a distance when those who pose as liberals are tweaked by those who stand to their left.