The public reason they are giving is more related to the NIC's lobbying efforts on behalf of fraternities, which victims' advocacy groups have taken issue with. One of the major provisions being lobbied for is one requiring schools to notify law enforcement and cooperate with law enforcement when they receive notification of sexual misconduct allegations.
http://www.huffingtonpost.com/entry/...b00aa54a4b26dd
Of course, that might be HuffPo trying to connect dots which just don't connect. No one has actually stated that as the exact reason for LXA leaving, and I would imagine that if LXA wanted to take such a principled stand, they'd at least come out and say what values they don't share with the NIC.
Having some experience in VAWA/Title IX cases, I do think there need to be some more tweaks to the system in order to ensure fairness for the accused and I do have some constitutional concerns about some of it as well.