Thanks, Feirless!
The thing is, it mightn't matter that a capitalist network rules the world - if they did a good job of it! But as the article says, the problem with this system is that it is unstable. We'd noticed.
And it's got to be unstable, hasn't it, for some companies to do well while others go under. Laws of the jungle.
So by supporting a political party, we are in effect empowering one or several of these global companies.
Imagine if we abolished the political parties and nation states, and we could chose instead to join one of these 'most interconnected' companies. We let them run the world and we get rich if they do well. If they do badly, we leave and join a company that can pay us more. That would be a democracy of sorts - ordinary individuals would probably have more power than we have at the moment ...