If I'm not mistaken, this post was simply created to end some confusion, not to stir up "controversy". Both organizations claim to be the largest group of its type. There was no mention of AKA until later. It certainly doesn't look like the intent was to stir up tension between AKA and DST--if someone sees that in the post, then that's another issue and another forum.
If one is claiming to be the largest sorority (overall or in each governing body) or second largest women's organization (behind the Girl Scouts) and they're NOT, now isn't that misrepresentation--also known as LYING?