Actually the libs mostly hate 50 Shades. It’s built on the kind of rape fantasy stuff (she was unwilling to do the... things... but then learned to like it) the womens has hated for decades.
But for a while they promoted the movie. Like this: 5 Things to Do While You’re Waiting for 50 Shades of Grey to Come Out, and 4 Ways Fifty Shades is a ripped-off version of Secretary. Their knee-jerk reaction was anything sex, even BDSM, was cool. Perhaps because the Christians were so against it.