It is advisable to purchase a comprehensive insurance for cars under hire purchase. Furthermore, most banks or finance companies require you to insure your vehicle with a comprehensive car insurance coverage. This is the reason why an experienced car insurer will ask for the name of your hire purchase. They will help you to notify your bank/ finance company that you have bought a suitable coverage that meets their requirement.
Bear in mind that the vehicle is legally under the bank/finance company until you have fully paid off the loan. Thus, it is imperative for you to get a policy that they have mandated.
Some banks/ finance companies do allow you to purchase a 2nd party insurance when you have less than 1 to 2 years of loan to service with them.