Out of those two... I always feel like Arnie's meant to be a joke, even his famous lines aren't famous because they're badass, they're famous because they're stupid and funny and people laugh just repeating them. But I guess he has some core of actual decent action acting in some of the scenes of predator... so it's hard.
I think the problem is Jason Statham hasn't been sold to me, he's a good action actor and he does an excellent job at what he does, but he's not really worth talking about because he's so intense in his roles. In that way, maybe he's not so much a star.
So out of those two, Schwarzie wins I guess because more people think of him, but he's still pretty lame in genuine action roles. I don't know who should have gone against him and win though, maybe Bruce Willis, but I've never really bought into him, maybe Jackie Chan (whose a complete legend) but I feel martial arts is a different category almost