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It truly all depends on when you look to travel. If you have kids and need to travel during the school vacations the points won't bring you the value compared to your maintenance fees for both weeks but if you can travel in shoulder season or off-season then you could do ok with points. However if you can travel in the off-seasons and can either plan well in advance (12 months out) or on very short notice (within 60 days before check-in when trade value of all Marriott weeks become equal) then I'd just sign up with II because if the red is truly a platinum week it would trade well in II with advance planning and the white week could as well if you planned well. If again you are a school calendar family then II will get you places with the platinum week but the white week would have little use in trading.