It is all very well quoting years of experience crawling about the waves all over the world but we are talking about commercial offshore operations. They continue the climb to height because it says so in the checklist. The pilots are paid to abide by the checklist and SOPs. The company that enploys them has an AOC because it has SOPs to cover forseeable emergencies. Last but not least; the aircraft is only INSURED if it is flown IAW the AOC.
Anything else; the captain is responsible.