If you are in a Meeting Hall RP (or moreso a White Scenario) it is polite to finish it out with your existing character. After all, it still happened prior to you being dead.
However, many people don't bother.
But it gives you something to do during the 3 week respawn, after all.
____________"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."
Only fools and children dream of heroes.