Maybe I am overly cynical, but if quality education will be commodity probably the following things will determine success: which country you were born into, the culture of the family you were born into, talent, access to education that cannot be teached on the internet (learning to be a doctor?), family connections, natural resources of the country you live in (-> and politics, and strength of army of the country you live in), knowing country specific knowledge (that cannot be outsourced to poor countries), having English as mother language, etc...

Most of it is already true, as big part of education is already (almost) a commodity. (At least compared to education 100 years ago)

Free education will make the world better. But if we just take the zero sum game of 'who will be successful in society', then there will always be factors. If not education then others, like the ones which I mentioned.