IMO.....
Curing inside your main tank or outside a bucket make no difference if you didn't plan to kill hitchhiker by certain extreme method. Only difference is curing inside the main tank then you risk tank residences (I saw you have blue tang and other fishes) with high ammonia, N/P, and that may result something you don't want to see.
If you care your residences in main tank, then you should cure LR somewhere else first. If you don't care, it make no different to me inside or outside.