The reverse of the pivoted frontswing would obviously come from a backswing. In this scenario, a landing on the outside leg, usually in a complete landing stance, occurs. Similar to a more typical example ending in a frontswing, a pivot occurs, before ending in a backswing, or even an outward swing more typical of a side to side aerial. The hips and shoulders turn roughly 90 to 180 degrees to change stance, into a mega position, and from here something like an aerial or btwist can be thrown.
Clearly the leg swung through, and clearly there was a stance change in order to be in the proper position to throw an aerial or btwist. This type of carrythrough is completely opposite of the typical frontswing example, but functions in exactly the same way.
Quite often, this is mistaken for a missleg, however because the in-air leg never rebounds and changes paths, and the linear path of the leg swing is maintained, it should be understood to be a carrythrough. In reality, this distinction can indeed blur together at times, making it difficult to definitively say which transition actually occurred, often times because the pivot occurs at the end of the swingthrough. An efficient method to avoid this ambiguity is to actually create the pivot before swinging, or as the legs pass one another, so at least the second half of the swing is clearly a linear swing. This method also utilizes the hips and creates a slingshot effect with the swinging leg, generating a good deal of power.
It should be mentioned that a carrythrough can be achieved with any round kick by pivoting into the opposite stance, upon landing, then generating a swing into both vert and invert axis tricks.