"There is no such thing blah blah" - yes, there is, it's called context. Someone who feels threatened by a pun "headline news" with a noose is not properly adjusted to the adult world.

Do kids not play hangman anymore?

More broadly, I think twitter lowers the bar for whining and manufacturing rage. In a pre-Internet world, would that woman have cried, or otherwise been mortified at the beer top? Would she have taken a picture and sent it to the investigative reporter in Dallas where Lone Star is brewed? Or would she have gone "Huh, that's rude, how strange" and thrown it away?

It's easy to get wrapped up in the hate-think, and I think this is a case of it.