Found this online. The moving violations they listed that do transfer were all things like DUI, negligence, etc. not speeding tickets.

Also, don’t offer up the information to your insurance company. They rarely, if ever, do a sweep of other states for violations. If they do, it would be the surrounding states.

Connecticut DMV

Each Department of Motor Vehicles (DMV) is generally the same, but might have specific policies that differ from state to state. Because of this, points for a violation in another state will not transfer to a person’s Connecticut license. However, any moving violation conviction that a person gets out-of-state will be communicated through all 50 states. For example, if you have a moving violation in Florida and you have a Connecticut license, the Florida DMV will contact the Connecticut DMV to inform them of your conviction.