Similar power-set, but not quite the same. As Binary, she's linked to a white hole and can generate energy of all sorts of different forms and control gravity. And of course she has the precognition thing that he didn't. That said, Mar-Vell also had abilities she didn't, and yes, she is a legacy character. I don't think anyone's arguing with that.
But for the record, I too like the connection with Mar-Vell and think it would make for a compelling origin if they kept their story largely intact (with a few tweaks here and there to give Carol more agency). But I just don't think that's in the cards.
Still, making her a legacy character and making her powers come from a piece of jewelry are two very different things. Being a legacy character (especially to a character who's now dead), she can still be unique and powerful on her own. Giving her Nega-bands or Quantum Bands and having those be the source of her power, makes her a regular person with fancy jewelry that anyone else could wield. I just don't see Marvel undermining the power of their first lead female and "most powerful hero" like that. Thank goodness Patty Jenkins didn't decide to make all of Wonder Woman's power come from her bracelets instead of portraying her as the demigoddess she's supposed to be. Hopefully Marvel has the same good sense. They certainly have with their other heroes thus far.