What makes Connecticut different
The money is a separate story and it runs the other way. Connecticut fines are among the steepest in the Northeast, and a statutory assessment is added to the amount, so the total is substantial even where the point value is nominal. A driver reasoning from the point value to the cost will get it badly wrong here.
That decoupling is the thing to hold onto. In most states the fine and the point value move together because both scale with the margin over the limit; in Connecticut the point value is flat and capped, and only the money and the premium respond to how fast the car was going.