ATA, brace height, amount of reflex---none one of these in and of themselves makes a bow more accurate. It's more a combination of all of them, plus drawlength.
In my experience I would agree with the above statement. Because of my longer than average draw length I tend to put a more emphasis on brace height in comparison to either riser geometry or axle to axle length. However, a shorter draw length may entirely change my perception of things. I may put more emphasis on axle to axle length or at least an equal amount to riser geometry.
As was also made reference to, it also depends on your skill level. An above average shooter can shoot most any bow accurately with a little practice but an average shooter who does not shoot as often should probably stick with, at a minimum, a moderate length bow 34-35 inches with at least a 7-7.5 inch brace height and moderate reflex, no more than 1.5 inches, in the riser.
Hope this helps.