Team Ninja, huh? Then that means Tecmo-Koei! This is for DMC since Capcom messed it up as what the OP said and if Capcom threw the towel on it because of that.
A DMC game without turning it into a complete Ninja Gaiden clone? They'd better do it, please. But I don't want to see Dante copy some of Ryu Hayabusa's ninja moves like the Flying Swallow or the Izuna Drop; it just does not fit him; so let the Ultimate Ninja do that! I don't want to see a Dante that's a complete Hayabusa expy or demon hunter turned ninja who hunts Fiends.
Also, seeing NG Sigma 2's gameplay allowing Ryu to use both the equipped projectile weapon like the Fiend's Bane Bow and shurikens at the same time, how about seeing Dante wield both Ebony and Ivory and another equipped gun at the same time? For example, Dante wields both his pistols and a carbine battle rifle whose bullets are even more powerful than E&I's. I want something new once in a while.
Platinum can also do, provided Hideki Kamiya himself remembers DMC1, the game that started it all, but use DMC3 as a reference, not exactly making a copy+paste it entirely unlike DMC4 (as much as I find the Style-switching a cool feature for Dante there) IMHO. He may have used DMC4 as a reference for making Bayonetta, but I also don't want Dante to be like her, such as sucking on lolipops; let the Umbran Witch do that (I'm still not liking PG for their dick move changing the platform for Bayonetta 2 to only the Wii U)!
As for DmC, NT should not make it any crappier... Less bugs (there is no such thing as a bug-free or glitch-free software), not a DMC3 copy+paste gameplay (unlike DMC4) but must that game must be used as reference only, make the Dante there as cool as the original Dante (referring to DMC1 Dante) without being a copy+paste of him, bigger movesets, more weapons (meaning more normal melee weapons asides from Rebellion giving hints for more demon and angel weapons, and more guns), etc.
As for DmC's publisher, better leave it to a better publisher NT can trust if Capcom threw the towel on DmC too like DMC. This is only my guess IMHO, okay? But the publisher NT should trust for DmC should be 2K Games, publisher for the Bioshock series (theme of choice for the first two games and the possibility of parallel universes in Infinite).