Southwest policy appears to restrict entrance in this very specific case to JUST after all A-list passengers and before others. This is because his kids were older than 4 and NOT entitled to A-list boarding. If they were younger than 4, the hostess would be infringing policy. But she was actually enforcing policy strictly, doing her job as she is told to.
The real problem here is a conflict between the freedom of speech right and the defamation civil wrong (for which she can sue actually). I personally don't think there is real libel here, but some might argue that using the hostess's name on the tweet is reason enough for her to sue. What is impressive is the fact the guy had to go to the news after the incident to whine even more, and that gets me thinking he is a little more butthurt than he should for nothing important. He pretty much wanted the hostess fired from her job, which is her source of income. I think everybody gets defensive when their job is at stake. And all this for not indulging him in something he didn't have the right to, despite being "used to" have.
She wanted to avoided having defamation about her and the company wanted to avoid bad publicity. If the tweet was still up, he would have been left on the ground and he could be sued. If they let him fly without deleting the tweet, hostess would have been fired and both hostess and company could sue. This was the best scenario for both... Until he decided to strike back like a little girl. He could have never used the company again for the lack of poise but he just had to make the issue bigger. These are my two cents about it,