Eyeballs are largely a property of a web (or non-web) application, not a blockchain. The white paper and in many ways the whole Steem community both confuse the two in very significant ways. There are many logical leaps in these assumed models that are poorly supported if at all.

The only thing a blockchain can really ever do is pay people money (or tokens) according to a variety of rules. Apart from that, it is impotent to interact with the world in any way, eyeballs or otherwise.

I'm not convinced that people influence people's eyeballs by buying Steem, or at least the model by which they can do so has not been clearly explained in the white paper or otherwise. They can influence who gets paid, but that isn't the same thing at all.