At first I thought that it would not have made a difference, but if they'd managed to keep all of her TNG traits in tact it could have made a huge difference.
The most significant being that I doubt they would have pushed Shelby into the role of being everyone's mom. She would have been more commanding officer. That alone would have been a BIG improvement over what we got. I love the idea of having a female captain that is no nonsense and not in anykind of mood to play someone's parent.
As for her relationship with Torres, it could have been interesting for her to have the sort of mentor relationship similar to what we saw on BSG between Admiral Cain and Starbuck.