Ok, here we go, another attempt to explain it, not an easy subject you picked here. The reason you can't just reverse each servo is because your cyclic movements do not control just one servo at a time. When you move the elev control you are moving all three servos, not just the elev servo. Same when you move aile, you are moving all three servos, not just the aile servo and same for pitch...
You have to be able to reverse the mixing, not just the individual servos, in order to achieve proper movement in all direcitons for swash control. Maybe stated this way, reversing a servo only changes operation of that servo, not the other two that are mixed with it to produce the desired movement. Sure, you can reverse those too, but then when you go to move on the other axis, chances are you are going to have a mess. It takes a combination of servo direction and swash mix to accomplish the proper setup. Sometimes you might get lucky and just have to reverse one servo and you are good, other times you will have to make several attempts at reversing one or the other servo AND reversing the swash mix. The bottom line is to use a combination of these adjustments until you get the proper movement.