Seriously, in order to experience public humiliation one needs to care about the public opinion, and kids famously don't. Posting your kids' photo on eBay is more of a clueless act for entirely different reasons.
And she probably told them plenty of times, I can bet she's the one cleaning their bath so the gradual damage could have hardly escaped her. We also lack any information whether there were other punishments before it came to this. And I'm very much pro paying attention to what your kids do and not letting toys and games do it for you, but if that meant policing them about the same thing over and over (maybe after you spent the day at work and came home to clean and make dinner) then nobody would want any kids sometime soon.
Anyway, is this article serious? The poll is retarded, not to mention bits like "rewarding her boys for their ambition in creating a larger arena" and the 4chan involvement. Though in retrospect she might have gotten the hint about what posting pics like that publicly does, just like her kids have probably gotten theirs about destroying stuff around the house.