Will CT speeding ticket effect my NY insurance?

I have recently received an out-of-state speeding ticket in CT, and the state's policy is that if you just pay the ticket (pleading no contest) there will not be any points added to your license. The policy for my home state, New York, is that the state does not record out of state moving violations such as... show more I have recently received an out-of-state speeding ticket in CT, and the state's policy is that if you just pay the ticket (pleading no contest) there will not be any points added to your license. The policy for my home state, New York, is that the state does not record out of state moving violations such as this one. My question is that if I were to just pay the ticket so I wouldn't receive points, would my insurance company in NY still be able to raise my rates for this? Would they even find out?
Anyone with a simalar experience between these two states would be extremely helpful
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