A very difficult question, because of variability in standards and in the films. Also, we've had time to see how well the noir films have aged but not enough time for the neo-noir. Another problem is that the neo-noirs may cover a broader range of sub-categories. Also, it can happen that one aspect of a film (music, cinematography, special effects, sound, themes,...) might be better or worse, while for others a different judgment is in order.
Both categories have dispersion in film quality, so that we have to be talking about the median if the question is to generate meaningful answers.
Starting from zero some years back, I made it my business to build up a neo-noir collection and view these films. I don't regret it, but I do not have an overall opinion on this question. They are so different. They do different things. They explore different worlds in different ways. It's hard in many cases even to think of neo-noirs as being noirs apart from some general common features of subject matter where the worlds resemble.
We could ask a simpler question. What neo-noirs are regarded as being the best ones? Or, what neo-noirs do you think are the best ones? If we search for such lists, we find some coherence and a lot of dispersion. That's food for another day. It might then be possible to generate a list of the 25 best neo-noirs to date and then stack it up against the 25 best noirs. This sort of approach avoids discussing the individual components of quality. It submerges all such questions into overall judgments.