Simply, it needs to have permeated the culture as much as other competitive activities, i.e. sports. In a few generations there won't be anybody who doesn't understand the basic rules behind FPS, RTS, and (if they last) fighting games, and there won't be a need for broadcasters to feel like they have to dumb everything down.
At least that's how it looked 5 or 10 years ago. Now, I'm not so sure. Competitive game development has changed, especially with the rise of consoles. You simply cannot play certain games at high levels on consoles, and it's killing the competitive FPS, and doing a lot of damage to competitive RTS. Fighting games are the obvious exception, but they're not exactly the hot shit they were in the 90s.
I still think there's a future, but it won't be developed in NA.