"The story could play out the same, it could just be a completely different story with completely different themes."
Again, the entire point of the scene is precisely that Boba has no personal connection to the fight. Nothing about what he's doing is selfish. He could turn around and walk away at absolutely any point, and be better off for it, at absolutely no personal cost whatsoever.
He faces Bane not because he needs personal vengeance, or because there's gain in it for him. But because he believes it's the right thing to do. When he appears to be beaten, he finds the strength from the training with his departed family and fights not like a bounty hunter but like a Tusken and wins the day. He's moved beyond the selfish, self-obsessed man of his youth and has found a new purpose.
If you make it personal, you make it about Boba's vendetta against Bane, then it's in no way the same scene or the same story. Now it's just another selfish thug getting self-gratification from another murder in a long line of murders.