Why would a skeleton who was begrudgingly raised from the dead by a necromancer want to practice necromancy himself? I feel like that really clashes. It'd make more sense if you have a vendetta against necromancers and want to kill them all.
Well, people who are abused often become abusers themselves. Similar case here. Could be a choice the player can make, either to do unto others as has been done unto them, or to assume most people don't want to be turned into the undead.