So the airline's management doesn't have the balls to stand behind their own policies? Big surprise, there. I'll bet the 24 hour flight ban is a standard rule for anyone removed from a plane.
I love this from the second article you linked:
"Focus on Your Child
When in public, every parent's mantra should be this: "I don't know any of these people, and I'm never going to see them again." Just focus on your child, not on the other people around you who are giving you dirty looks. Your goal is to be your child's advocate, to be there for your child."
Good advice there, for the terminally selfish. Yeah, as long as your little darling is happy, who care how many people you annoy. Respecting other people, even strangers, used to be part of a common idea called "politeness", or "civility".
They were offered another flight but wouldn't take it because it wasn't non-stop.
They are lairs.