Austin, Vardy, Ighalo just in the last 12 months would suggest prolific form in the Championship can be replicated in the right set up. His movement and shots suggest he's a superior player to Campbell, but yes, we can't say for sure until he's played in the PL. Which he likely will next season.
You can also say that Deeney, Gestede and Nugent suggest it isn't agiven. Which is my point. I'm not saying he isn't good enough. Just that because he looks class at this level, it doesn't mean he'll be the same at a higher one.