I would say no, unless there is any evidence that the barrier coat is there as a result of a blister repair. If so, the blister problem may well return, and repairing new blisters later would be more trouble than restoring the barrier coat now. You should be able to tell whether there was a blister problem by inspecting those areas of gelcoat you can see - if they don't have patched divots you should not need to worry.
PS - don't remove any of the existing barrier coat if you can avoid it, you are jsut creating work for yourself to restore it.
Certified...in several regards...