Have 50yo fibreglass yacht on a swing mooring. Third party with New Wave gives you access to Marinas . Good communication/efficient,but no claims,yet have certificate of currency ! Few options available - only found one other - but maybe try a broker ? May be different if you have a positive recent survey,and want full comprehensive but = $
I know its not exactly answering the question but if you are looking for an insurer that will insure a boat on a swing mooring and 3rd party Ive been using Pantaenius and found them very helpful.