That does make sense.
But in this post - Ferguson period, I'm certain many are eyeballing his Wikipedia page. That's an incredible piece of fiction or non-fiction.
Actually having went back and read the Wiki article, it doesn't really say Kyle killed 30. In his words (which a reporter was relaying), he said there was a group of military that killed 30 looters. Not really even specific if he was including himself, though that can probably be assumed. Then another reported followed that up by interviewing 3 drunk guys, one of which said it was Kyle who killed 30 himself.
Again, probably more to do with drinking and creating/continuing the Legend. Either by Kyle or others.
Pretty doubtful it actually happened. Although stranger things have happened. I'm pretty sure the government does thing we don't know or want to know about.