Actually, it depends on what type of dysplasia you have when dealing with whether or not it progresses or regresses. Mild dysplasia regresses to normal in the majority of cases and the more severe the dysplasia, the less likely it is to regress to normal without a surgical treatment.
However, it is important to remember that LEEPs or cyro, etc., do not "cure" us of dysplasia. It merely removes the abnormal tissue. Dysplasia can still come back after that, which is why keeping healthy is very, very important.
So having high risk HPV doesn't always mean you'll have abnormal paps and yes, it is possible for your paps to go back to normal but this depends on the severity of the dysplasia you have. I hope this helps!