Nope. Even if it was one of the greats (which, given its troubled development history, seems doubtful even if they did manage to release something), Saturn was just bogged down by too many other problems for one killer app to totally turn things around.
The three most superficial things that could have helped the Saturn out a little in the U.S. - having a solid, exclusive Sonic title that could stack up against Mario and Crash, ready to go by Christmas '96, launching at $299, and not bothering with that stupid early launch that upset more people than it made happy. I think those factors combined would have at least given it a more solid foothold.
But none of that would have countered out the more fundamental problems, that Sony had the cash to turn the PlayStation into a juggernaut, the Saturn was difficult to develop for, Sega had burned too many bridges with the 32x (seriously, change any one thing about Sega's history as a console maker and they come out looking a lot better if you just nix the 32x), etc.
I do also kind of wonder what would have happened if Sega had their ish together for Square to decide to go with Saturn for Final Fantasy 7, as they were originally considering. Sony's design documents were much more thorough and finalized which is what won them over on the PS1.
It's still so crazy to me that the Saturn never had a (proper) Sonic game.
The story of Sonic X-Treme's development has been told so often that it's become this accepted thing that's easy to just sort of gloss over.
But then you take a step back and it's just INSANE to think that Sega never got their shit together enough to release a game from their flagship series on their flagship console.
It hurts to know we didn't get a full game out of this:
I tend to agree with a point
TheGeekCritique made about this though, I think Sega could have made a great game featuring Sonic on the Saturn, but the tech probably wasn't there to even try and approximate the Genesis gameplay in 3D (Adventure 1 tried doing this moreso than any other game in the series). Because obviously even Sonic Jam's Sonic World section wasn't really trying to do that, it was just cool playing around with Sonic in a 3D space.