No, your insurance can only go up if you access points. That's why they allow you traffic school only 5 times in your life, but you can only do it one year apart. After that, your considered a habitual offender.
Trust me I know...I was a streetracer. I've done traffic school 3 times already!!
Actually, you can take it over and over again, as long as it is court ordered (rather then elected by you.) I mean that if you request a court date, and then on your first appearance where you are supposed to say guilty/not-guilty/no contest and plead no contest the court can tell you to go again. I used to work with a guy that really should not be on the road. He had taken the 4 hour 7 times as of the last time I talked to him about it. And that was about 4 years ago.
