The Insider weighs in on this topic, as well as for Rob and Kristen. Check out part of the article below:

With November’s release of The Twilight Saga: Breaking Dawn Part 1, the sparkly vampire franchise has earned over $1 billion worldwide and turned its trio of actors — Robert Pattinson, Kristen Stewart, Taylor Lautner — into massive global celebrities.

But are they actually movie stars?

Yes, there is a difference. Celebrities are the men and women whose personal lives, style and Just Like Us movements sell magazines. Movie stars are the performers whose presence alone puts butts in theater seats.

The question becomes this; Outside of the Twilight franchise, does anyone care about their work? My guess is that they will, once Stephenie Meyer’s cinematic saga comes to a conclusion. For the time being, each is locked into being their big screen doppelgangers. Fans don’t want to see Edward romancing anyone but Bella, they don’t want to see Bella acting like a wasted rock star and they don’t want to see Jacob trying desperately to find his parents. We know who his father is. It’s Billy Black.

But that won’t (and really shouldn’t) stop them from trying to forge their post-Twilight career paths.