as most helicopters insurance is named pilots your name needs to be on there otherwise your not insured
The process of having named pilots is just to have a discount on your premium.
If you choose not to have named pilots on your policy, you don't get the discount.
Nothing illegal in not having a discount or not naming pilots.
Therefore, it is not a legal requirement to be a named pilot in order to fly G- Reg helicopters with an FAA ticket.