Earlier quoted context omitted.
Your children also probably don't know what Petrochina is but like Yahoo that doesn't make them an unprofitable company. The nice thing about no one knowing who you are is that 22 year old college geeks don't get the idea to 'disrupt' your industry and instead focus on 'disrupting' a more well known brand like Facebook. I'd suggest educating your children as to how to make money instead of brand recognition.
You can't disrupt Yahoo as a random 22 year old geek starting a company. The revenue streams and traffic base of Yahoo is extremely diverse. Unless you plan to simultaneously disrupt web email, search, financial portals, sports, news, generalized all purpose portals, and on and on.
And that was when Yahoo's brand meant something!