Good news and bad news:
My doctor (who I really respect) said that there is a 95% cure rate following a LEEP.
BUT, that being said, I needed a second one. Lucky me, in the 5% who were NOT cured by the LEEP. Doctor thinks I just have a really bad strain of HPV, very persistent. He must be right because even after the second LEEP I am still having abnormal paps.