Mild spoiler warning in the next paragraph....
The analogy here comes because the Hunger Games wasn't just about winning or dying. Winning wasn't enough to live happily ever after. The winner was actually punished in various ways after the Games based on how she ended up winning in the Arena, because the way she won embarrassed the Capitol. Her friends and family also suffered because of the way she won.
Similarly, in the case of Olympic softball and women's hockey, you have journalists and IOC chairman telling female athletes (I mention female because this never happens to men), that it's not okay for the sport if they win a certain way. If they're too successful, then their sport will be punished. Then not only is your Olympic career potentially over, which was true for most of the 2008 U.S. softball team, but all the younger girls you've mentored and coached at camps with Olympic dreams don't get to compete at the Olympics either.
So yes, I think it's appropriate to say that threatening athletes to cut their sport for lack of parity is a philosophy more fitting of the Hunger Games than the Olympics. The Olympic motto is "swifter, faster, stronger" not "swifter, faster, stronger, but not so swift/fast/string OR ELSE." More people should find this to be totally unacceptable from the IOC. More people should be condemning the media who choose not to call out the IOC. Instead the media writes about how tragic it is that athletes could be victims of their own success, and that's just the way the world works. It only works that way if the IOC chooses not to give these women's sports the same chance to grow that a sport like men's hockey once received.