From the literature as well as the answer to the question What is the meaning of energy-consistent and shape-consistent in the context of pseudopotentials? I can see that the key difference between these two types of pseudopotential is based on how they are fitted.
I can also see that energy consistent pseudopotentials provide more accurate information concerning the energy of the atoms/molecules however shape consistent ones are a lot easier to construct. Additionally, it seems that that energy consistent are also shape-consistent but the reverse is not necessarily true.
I was wondering if anyone knew of any more advantages/disadvantages of these types of pseudopotentials. If one could elaborate on the typical circumstances when one pseudopotential may be preferable to the other that would also be greatly appreciated.