As I understand it, one of the big advantages is that the blade actually slices diagonally across the wood instead of straight into it.
When hand planing, there is a very strong, natural tendency to put the plane at an angle across the direction of planing, not square to the edge of the board. This is accomplishing the same thing as the helical head. The blade can slide into the wood and cut a little bit at a time, making a smoother entry into the wood than if you try to push the entire cutting edge directly into the wood all at one shot.
This also gives an advantage of making it easier to push the cutting edge through the wood. When hand planing, it makes the work less tiring (important since it's human powered and humans get tired). I've see claims that this makes it easier on the electric motor driving your planer, too, since small portions of the blade are contacting the work piece at one time instead of the full width of the blade.
I've also seen claims that the full width of a straight knife hitting the wood slows the cutter head down "significantly" which the motor then needs to compensate for by reaccellerating the whole head, while the small knives have much less impact on the cutter head speed, allowing it to run more smoothly. I'm not sure how much credence to put into this last claim, but I've seen it made in more than a few YouTube videos by people who seem to (in general) know what they're talking about.