No. Enameled wire is generally used in transformer coils and when used within their specified ratings will not get any where near getting hot enough to degrade the coating.
3d printers use switching power supplies instead of large transformers (like a microwave) to change the wall power you supply it to 24vdc. They have very little “enameled” wire in them. Sitting idle, printers have very little power draw. When powered on screens do have a limited life span but this is normally mitigated by powering down or turning off the screen via the firmware.
. If it’s wrong, I have been wrong on a lot of devices for a long time