Bron Breaker is not a name that headlines just like Dolph Ziggler was doomed forever with his name while his actual name is far better. If they aren't going to or don't want to do Steiner give him a better non jobber name.
I agree that Bron Breakker is a shit name... But I seriously doubt he struggles the same way Ziggler did considering:
1. Bron is slightly "Bigger" and built different, visually. If you go off billed size, they're the same height and Bron is 10 pounds heavier, but Ziggler has a cut "Model" build. Bron has an contact/combat athlete build.
2. Bron's explosiveness makes up for any perceived lack in size. (Which is funny because, by wrestling standards, he's somehow small)
3. WWE was just starting to break out of their "Size-queen" reputation at the point when Ziggler could've been pushed. They begrudgingly went with Punk as a top guy, and only went with Bryan when the company (And a number of talent) forced them to.
4. I think perception plays a role in this... To the casual fan who doesn't know much, Ziggler looks like the pretty-boy model, whereas Bron looks like somebody who could legitimately kick the shit out of you.
5. The dipshit that was holding back multiple talented guys is gone, seemingly for good.
I say all that to make the point that, while Bron's name sucks balls, I don't think it prevents him from becoming a star. That said, for f***s sake, just bring him up as Rex Steiner. Everybody knows who he is and nobody gives a f*** what his Dad said two years ago to the degree that it would hurt
him.