Like Nick said to be fair to HIC you should have checked the policy within the cool off period.
Also did they have the full quote from Admiral in front of them or did you tell them exactly what you wanted (and pointed out the fully comp on driving 3rd parties cars)?
I'd have a good go at them for not giving you a
true like for like quote if they knew all the extras you would have got with Admiral (especially if you pointed out that you wanted Fully Comp on driving other peoples cars) and probably demand some money back as it was not a
true like for like quote and they have miss sold you the product or if they want you to stay with them next year they'll give you a better discount (Misselling a product is bad practice and if the Financial Watch Dog were to find out... oh dear.... )

They may resist, but like the Borg say...
