No I don't think they will keep the same name. It's radically different from the philosophy of the original NSX. I mean they changed the name of Integra to RSX, the Legend to eventually just TL. Why did they need to change names? They will most likely have a new name for the Halo GT. Besides the name NSX is not that well known among the normal masses, so it's not like it will help sell the vehicle.
Wrong, they changed the name of the Legend to the RL. Right now I don't care if they come out with the ASCC V10, it's ugly, probably expensive, and i won't buy it if I could afford it. Only vehicle I'm interested is the CR-Z since Honda says it's coming to production. If the HSC makes it to production, I'm all over it, even if it "only" has a V6.