While an emulator does not infringe on copyright and is illegal per US court precedence, an emulator being available is a large part of what makes copyright infringement popular and as such it is related.
Adding in the DMCAs anti-circumvention provisions and the fact that you have to violate them to emulate a modern console, the whole thing becomes very nuanced and tightly linked to copyright infringement despite not directly infringing.
>While an emulator does not infringe on copyright and is illegal per US court precedence
At least until Nintendo manages to overturn Sony v. Connectix, given recent SCOTUS trends.
Explaining that emulators can be used in concert with copyright infringement does not explain what right a copyright holder has over emulators.
That merely explains why Nintendo doesn't like them, not why anyone should care that they don't like them.
Cars may be used to commit bank robberies, yet banks have no rights over cars.