It would've still gotten hate regardless. The second fans hear that capcom was helping NT make an action game with demons, fans would automatically assume that Capcom would be done with DMC and do this new IP and argue that "DANTE IS BETER DAN THES GAI!! FAK HEM!!" and the hate train would continue.
Sadly, I have to agree. I think, if it still had been Devil May Cry, but perhaps new Dante being an entirely different protagonist, rather than a rebooted Dante, it might have been...
You know what? Never mind. I just realized the error in what I was about to say; they did that before, and people hated/still hate Nero.
In all honestly, it's difficult to say: if it was completely devoid of the Devil May Cry title, it theoretically could have had a better reception. But as has been pointed out, all of the other elements that make it what it is would cause an outcry of "rip-off", so I figure, the only way it could have been received better than it was, is if it entirely wasn't DMC in any way, shape, or form to begin with.
Not that it particularly matters, because you can't please everyone. Every game receives a varying amount of praise and criticism--but yeah, I figure the title, and the fact that they came up with a wholly different version of Dante was a major part of the poor reception it received. That's just my opinion, though. For all we know, it would have received the exact same even if entirely unrelated. *Shrug*