Many people think that you need a double edged knife in order to "cut both ways." That is simply handled by wrist/palm rotation to re-orient a single edged knife in combat. And, it is not something "thinks about" after some time in handling the knife.
The classic example of this would be with a horizontal, forehand cut that and you wish to return on the same plane of movement, the same angle, but return with a backhand cut.
Since a Clip or Spear - point Bowie with the false edge sharpened is technically a, "double edged" knife, I'll address that first...
If one is going to be Backcutting, ala' James Keating, one would want to have the ability to do that with the large knife in forward grip.
Not only is the Backcut deceptive and effective, it is particularly vicious. Amazing what the wrist can do in terms of speed and power with that sharpened, secondary edge.
If one is not going to be fighting in that manner, I don't see a whole lot of "need" for a sharpened secondary edge. If the knife is rather pointy, it is going in...
Where the double edged knife, in my opinion, shines, is in reverse grip.
The reason for that lies in the various methods that circle around the reverse grip methods...
In some Filipino-based knife methods, you will see the knife in reverse grip turned edge in[/i] if it is a single edged knife.
The reason for that is simple. They [We, I...] seek to cut on first contact.
With a single edged knife, if you hook an incoming limb, the head or a leg, or if the attacker attempts to clear your blade on the high line by blocking or otherwise obstructing your knife, you can hook and tear with the edge in.
You can spiral cut their wrist, perhaps the neck as you spin them into the ground, compression.
So, alot of people say, "Well, I want my steel's edge facing them so they have to get through it..." Well, that's all fine and good if you fight that way with a single edged knife...I don't think it is nearly as effective as a meet and a hook to remove and damage simultaneously...
With the double edged knife in reverse grip, you get the best of both worlds and it just goes to show how some people [myself included] think that edge in hooking/cutting is much more powerful than simply slashing in reverse grip with the edge out. Alot of people have made the choice they would lose the ability to slash outwards in reverse grip for having the ability to cut on first contact when the limb has been met/intercepted.
But that's why the double edge shines in reverse grip, to me.