Why not? I think DMC4 is fucking excellent, almost as good as 3 and better than 1 or 2. I can see how some people like it less due to reused areas etc. but for my money it's still the best action game this generation. And yes, that includes Bayonetta And NG2/Sigma2. I have a hard time seeing how any fan of DMC3 could outright dislike 4.
Sorry for rambling, but DMC4 is genuinely the only game this gen i would consider criminally underrated, so yeah i'll probably replay it after going through these.