I think most hated Nicky in first build and not sure how much that will change depends on rebuild and if people can ignore the first build.
I dont care about Nicky in any way and thats one of the issues, the problem is she feels to much like the main girl where others feel mostly like side girls, with Nicky you dont have the same choices as every other girl in the game that you can stright up say no to, Nicky is pushed to hard by living with MC and coming into hes bedroom half nude which i dont want a "friend" to do in any way, just another flaw to add to her personality and another reason to get her out of the apartment so she can fix her life, give her money or a job i dont really care how just want the choice.
I dont share your view about Nicky would severely limit the story, to me it would improve the story since theres plenty of other characters like you said, not that i mind Nicky being in the story just want better choices so i can turn her down and move her out.
Also dont think im a pure Nicky hater, had she not moved away and done the brainless things and ghost Guy which she would have gone on to do for who knows how long if she was allowed to stay with the pervet dude, you might say untill debt is cleared but why not even longer to make enough money to get a place to live and so on, to me she had 0 plans of returning to Guy, but in any case had she not done all that shit i would have taken her as Guys girlfriend any day.
On a side note can you even rape her anymore? i dont think thats an option since that made it a million times more weird that she would ever go back to Guy for help, if thats truely an option so shes out of the story i would take it