I once inquired about a similar situation, and I was told that it doesn't necessarily go by how many points you get.
The situation i'm talking about is, my friend got a ticket with a 4 points. He was told not to plea bargain for 0 points, bec when the insurance company sees the ticket, they will know that there was had to have been points on this ticket, and that you plea bargained.
And when that happens, they'll decide how many points the violation should be worth, and bump your rates based on their own assessment.
If you get it lowered to just 2 points, then they won't use their own calculations to decide how many points the ticket is worth, and they'll just go by whatever is actually is on there.