My two cents worth. Makes perfect sense to add some type of lubricant (SMALL amount of Teflon tape, Teflon paste or anti-seize compound) when a new plug is installed for the first time in a new pan. That will prevent "galling" (tearing) of the threads that can happen with dry threads, especially steel into aluminum. Once placed into service, the residual oil on the threads should be sufficient. Always install a new o-ring and thread plug into hole by hand before tightening. If it does not go in smoothly, check further, something is not right. Properly tightened (14 to 21 ft lbs), vibration is not an issue because there is no external force acting on the plug. Adding EXCESS tape dope can actually prevent the plug from being properly tightened.
If a drain plug does not have a o-ring and uses tapered pipe threads (NPT) to seal, than some type of thread sealant should be used. I prefer a Teflon paste like Permatex thread sealant with Teflon.
Tom P.