Increasing the surface area of a heat sink will often improve the thermal performance of a heat sink design. However, care must be taken to make sure the increased fin density of surface area does not degrade performance of the heat sink due to increased pressure drop across the fin structure. This pressure drop is often a result of low air flow caused by the higher fin density or other inhibitors of efficient air flow through the heat sink fins.
As part of designing the heat sink fins one is often limited by the manufacturing process being used. For example, extruded fins must be tapered so that the material will pass through the tool without breaking. The number of fins in an extrusion will always be limited by the width at the base and the aspect ratio of the fins. These restrictions inherently limit the surface area.
Forged fins can be made almost perfectly straight allowing for more fins per square inch. The fins can also be formed into many different shapes, such as elliptical, pin and straight shapes. The resulting increase in surface area can be an important factor in improving thermal performance.
The pictures below illustrate this concept.

The forged heat sink pictured above increases the surface area by 18% without increasing size or weight. The result is increased thermal performance.