Yes 3 points is knowneas a conviction, do they know of these points already, ie did you declare them?
They are trying to find a way of not paying out, essentially if you did not declare the points at time of taking out the insurance or indeed when they happenned if you already had the insurance then they will use it as an excuse to not pay. Your insurance is still valid and they will probably pay a third party but they will do all they can to welsh on paying you and this is just one of the ways. They will also want to check your tax/mot etc.