The computer data bases of major insurers are linked directly to the DVLA computer system now, this is how the police can do an instant check to see if a driver has insurance, Its also how you are now able to get road tax on line, the dvla can see if you have insurance and MOT from your reg plate.
Not sure if it works the other way as this mean contravene the data protection act, however not telling them about your points is almost as bad as having no insurance at all, as your insurance would probably be Invalid in the event of you making a claim.