The rest does not "need" to be consecutive. It's how they will get around it. So long as there is 6 hours somehow split between the two operating pilots then it's legal. (7.7.1.2)
The only defense will be if there is less than 6 hours of "cruise" time available between both sectors. And if that's the case I'm sure they will have no issue in just slowing the sectors down to meet the requirement.
The only way the third guy will get even close to 3 hours is to be on "rest" every single second they are on duty and not in an "operating" seat.
Have no fear... If you find a loophole somewhere they will just close it with an amendment