Ahhh, the inevitable thread hijack!
Just want to know about the CT>MA insurance part.
Local courts have a lot of leeway in how they handle tickets. I've heard of offers like this one before, and it's clearly intended to get drivers to pay up.
The following is not based on any specific legal knowledge, but just on 35 years of driving in various jurisdictions. Local courts can do a lot with a speeding ticket. The prosecutor can adjust the ticket down, for one example. They can also fine you but not put the conviction through to the state DMV.
That's for in-state issues. When you're caught in another state what happens is that it gets reported to that state's DMV. Eventually they will forward the information to your own state's DMV, and your insurance carrier would get their hands on it that way. It used to take years in some cases for the reports to cross state lines (and some never did), but perhaps it is faster in the age of the intarweb.