Rift would be my choice, but it's a whole lot of work & the results are not enough better than quartering to make much difference. As Paul stated, there's not a difference in the wood itsself, as it's still the same wood no matter how it's cut. But by rift or quartering you can increase the number quality shafts, even though the yeild of overall lumber is not as high.
Rift sawing is constantly splitting the wood perpendicular to the grain, so the boards all have a higher grain count than the normal flat sawn. What it does is ensure a maximum number of grain lines are exposed in the face of the board. With the grains all exposed & visible on the board face, it's easy to cut along the grain to make straight grained shafts. With flat sawn boards, it's often times tough to judge how straight the grain is, and therefore making it a crap shoot to getting straight grained shaft squares. If the grain does not run parallel with the flat sawn board, then the shaft squares will have signifigant grain run-off. By rift sawing you can keep track of the grain at all times, ensuring your cuts are inline with it & thus producing the straightest grained shafts possible.
Quarter sawing is just that, quartering the log up & then milling slabs off of each quarter, flipping the quarter back & forth alternating which edge of the quarter you cut a slab. It's not as perfect as rifting, but it's easier & much faster with a little more overall lumber yeild. Good luck finding quarter sawn maple lumber that is cut for grain straightness yeild. It can be found, but is rare. Just dream of rift sawn maple lumber. It doesn't happen unless somebody is specifically cutting it for use as shafts or other specialized applications.