There are some cases where neither offers a clear benefit over the other, except the legacy Particles offer less overhead and fewer nodes. For example, when instancing environmental geometry such as trees, flowers, bushes, rocks, etc., there’s not really any benefit to using nParticles. The best free instancer plugin, Environment System for Maya, just uses regular particles to “place” all the plants. It’s easy to use, clean UI, but when things get weird you can go right into the instancer and ParticleShape attributes and adjust or alter the placement manually just fine. You could do the same thing with nParticles (if the guy rewrote his plugin) but it would give you a few unnecessary nodes including the Nucleus solver itself, which is entirely unnecessary in this case.
An example of this usage, placing trees into a simple rustic scene:

So if you don’t need any physics, regular particles offer less memory overhead, generally.