Well, chiefly because they are completely different things...but to try giving an insightful answer as to what causes each -
Die wear is caused by excessive die use. The molecules of metal on the die's surface spread outward with each use, and tend to pool and act differently around devices, most notably around the edge of the design. The effect is usually shadow doubling, loss of detail on the outer edges of the lettering, and deep lines running through the fields that are the trails from molecules that have traveled outward from the central areas of the design.
Doubled dies are caused when the die is created. The hub that creates the die slips and comes out of alignment during a hubbing, or the die is placed out of alignment with the hub on a second or subsequent hubbing (from the multiple hubbing era - pre 1997). The result is a secondary impression of lettering in the die which transpose to the coin as doubled design elements. The doubled design elements are usually obvious as such, usually having full depth, full character, and notching at the corners where the two sets of elements overlap.
The appearance of the result of these two different anomalies are completely different from one another.