Your step-by-step is to cover your liabilities, protect your reputation, and then “I didn’t endorse this” which is tantamount to “it’s my kid’s fault.” Children recognize this for the selfishness it is, and it certainly impacts that relationship.

Maybe there’s a chance the child could accept that their parents reputation matters more than they do, maybe it’s cultural, but where I’m from this a surefire way to not get invited to Christmas

You would put your reputation before your relationship with your child?

We’re living through the return of the robber barons. This time, however, they can implant their thoughts directly into every single person’s hands at any instant. That’s why your point is the most salient, most important, and most downplayed

This isn’t a proof, it’s just a string of words approximating pathos