I believe whether it's compulsory to have one Trans-pacific and one Trans-Atlantic sector under the One World RTW depends on which continent you are starting from - sometimes the rules differ. The rules contained in that website above are probably the US rules. I have the Asian rules here and it says "Only 1 Transatlantic flt and 1 transpacific flt permitted when travel is via the Atlantic and Pacific Oceans" - implying that it's not necessary that one travels via either ocean. I also remember seeing a One World brochure in Bangkok one year ago showing a RTW via 3 continents - Europe, South Africa and Asia.