Dear Mike and all,
dynamical new comets have a fresh surface. That means gas evolutions may occur nearly everywhere. What we expect to see is the evolution far away and this increases with closer solar distances to n=4 that means r^4: r^2 come form the illumination and another r^2 come from increased gas evolution.
Dynamical odl comest are covered by a dust layer. The comets need to free parts of the surface, centres of activity. What we see is gas evolution only from a few such centres. We may expect that with closer solar distanced we get more of them. So (with unsharp glasses) we have n=6: n=2 come form illumination, another n=2 come from increased gas evolution and additional n=2 come form more cnetres of activity.
Dynamical new comets are not fainter, but they have more activity far outwards. If the comes is old, and we could replace it with the same comet but fresh, it would be much brighter. But with icoming closer to sun the curve is steeper.
Last year we had a comet with incredible n=17 which normally occurs only for a few days (outburst). But here we had weeks. I illustrated what may be happened. Our situation here is covered too. The article is in German, but may be the illustraions are useful:
http://fg-astrophysik.vdsastro.de/algAktivitaetKometen
For short: we don't know what we see at the moment. A dynamical fresh comet, rather small. Or a giant dynamical old one.