Hello OronD.

Basically, your point about interrelational intelligence pertains to some moral capacity, but not necessarily enough for a good understanding of real morality. For that there would probably have to be some capacity to be more general in ones morality than should it pertain only to the specific persons that one has a relationship with (or even that are into just any relationships that one has, in turn, some reason to relate to). I.e. there should be a possibility a general neutrality.

Capacity for a general neutrality, I believe, is what religions have coined "the soul". It should thus be pertinent to (at least a searh for) context- and time-independent positive value. What is defined as being so highly regarded as neutral, I believe, is different according to personal and/or religious opions.