The only baggage is what you bring. I really, really doubt that the general audience knows or cares about the differences. For all they know, they are different characters. He wasn't exactly a fan favorite in X1.
Except Liev Schrieber himself said in interviews for Origins that he's playing the same Sabertooth from X1. Plus, there's the whole "Wolverine's dog tags" issue that should've told people that Victor and Sabertooth are the same person. In Origins, we know that Victor and Stryker were working together so he knows that Wolverine volunteered for the weapon x experiment and that Stryker made new dog tags for him. In X1, when Sabertooth stole and wore Wolverine's dog tags throughout the movie, that showed that he knows who Wolverine is which should've alert the audience that we're seeing the same Sabertooth in both Origins and X1.