As much as I like Timothy Bradley, I would have to say no. I think he is a bit shopworn and past his prime at the current moment and won't favor him against either of these two hungry young lions.
Yes he beats both. Tim is more skilled and more experienced in big fights than both. He boxes circles around Danny and he would put smart pressure on Thurman and force him to fight. Once Keith opened up, Tim would counter him all night. His skill level is highly underrated. And Keith hates it to the body. When Tim commits to it, he is one of the best body attackers in the sport. By no means would either Danny or Keith be easy fights for Tim. He would have to dig deep. But he definitely have all the tools to beat both.
I think he has a better chance at being Danny Garica, in comparison to Keith Thurman.
If Bradley had more fire power? i would pick him to beat both guys, because technically he is better than both of him!
Prime he handles Garcia, Thurman maybe. I think we've yet to see the best of Keith, for me Thurman vs Spence is the fight to see next.
Bradley prime vs Thurman is an interesting one, we ain't never gonna see it so its moot anyway.
Since he's made no effort to fight them I can only assume he can't.
At one point in his career he was a top p4p fighter. But he lost his hunger after all those big paydays.