I think maybe by the end of the game Gabriel was supposed to be considered "Gabriel Belmont" again, since Victors dying words were "now you are the last Belmont".
It didn't exactly turn out that way in the nature of the plot though,
In a way its hard for me to criticize the game because its not you can say "oh well they made an honest mistake here..." after you find out everything was shoehorned into place by an egomaniac. There was nothing else that could have been done because he had total creative control.